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## John Quigg

Professor

Faculty

TEMPE Campus

Mailcode

1804

## Biography

John Quigg’s research is in the area of C*-algebras. This is the mathematics that grew out of quantum mechanics in the first half of the 20th century. The states of a quantum system can be modeled as unit vectors in a Hilbert space, and the observables can be modeled as operators on the Hilbert space. Combining the operators algebraically and closing under limits gives a concrete C*-algebra. The study of C*-algebras makes connections with many parts of mathematics, including analysis, algebra, topology, geometry, and discrete math. The area of C*-algebras has has been applied to such diverse areas as dynamical systems, quantum field theory, wavelets, and number theory. In addition to many papers on the subject of C*-algebras, John Quigg has co-authored an American Mathematical Society Memoir connecting C*-dynamical systems to category theory.

## CV

## Education

Ph.D. Drexel University, PA 1979

## Publications

- S. Kaliszewski, T. Omland, and J. Quigg. Cuntz-Li algebras from a-adic numbers. Revue Roumaine de Math Pures et Appliques (2014).
- S. Kaliszewski and J. Quigg. Coactions and skew products for topological graphs. Integral Equations and Operator Theory (2013).
- S. Kaliszewski, J. Quigg, and D. Robertson. Functoriality of Cuntz-Pimsner correspondence maps. Journal of Mathematical Analysis and Applications (2013).
- S. Kaliszewski, M. B. Landstad, and J. Quigg. Exotic group C*-algebras in noncommutative duality. New York Journal of Mathematics (2013).
- S. Kaliszewski, N. Patani, and J. Quigg. Obstructions to a general characterization of graph correspondences. Journal of the Australian Mathematical Society (2013).
- S. Kaliszewski, P. S. Muhly, J. Quigg, and D. P. Williams. Fell bundles and imprimitivity theorems. Münster Journal of Mathematics (2013).
- S. Kaliszewski, P. S. Muhly, J. Quigg, and D. P. Williams. Fell bundles and imprimitivity theorems: Mansfield's and Fell's theorems. Journal of the Australian Mathematical Society (2013).
- S. Kaliszewski, M. Landstad, and J. Quigg. A crossed-product approach to the Cuntz-Li algebras. Proceedings of the Edinburgh Mathematical Society (2012).
- S. Kaliszewski, N. Larsen, and J. Quigg. Inner coactions, Fell bundles, and abstract uniqueness theorems. Münster Journal of Mathematics (2012).
- S. Kaliszewski, N. Patani, and J. Quigg. Characterizing Graph C*-Correspondences. Houston J. Math (2012).
- V. Deaconu, A. Kumjian, and J. Quigg. Group actions on topological graphs. Ergodic Theory and Dynamical Systems (2012).
- A. an Huef, J. Quigg, I. Raeburn, and D. P. Williams. Full and reduced coactions of locally compact groups on C*-algebras. Expositiones Mathematicae (2011).
- E. B ´edos, S. Kaliszewski, and J. Quigg. On reflective-coreflective equivalence and associated pairs. Theory and Applications of Categories (2011).
- E. B ´edos, S. Kaliszewski, and J. Quigg. Reflective-coreflective equivalence. Theory and Applications of Categories (2011).
- S. Kaliszewski, P. S. Muhly, J. Quigg, and D. P. Williams. Coactions and Fell bundles. New York J. Math (2010).
- D. Pask, John Quigg, A. Sims. Coverings of skew products and crossed products by coactions. J. Australian Math. Soc (2009).
- S. Kaliszewski, John Quigg. Categorical Landstad duality for actions. Indiana Univ. Math. J (2009).
- S. Kaliszewski, M. B. Landstad, J. Quigg. Hecke C*-algebras and semidirect products. Proc. Edinburgh Math. Soc (2009).
- S. Kaliszewski, John Quigg, I. Raeburn. Proper actions, fixed-point algebras and naturality in nonabelian duality. J. Funct. Anal (2008).
- S. Kaliszewski, M. B. Landstad, and J. Quigg. Hecke C*-algebras, Schlichting completions, and Morita equivalence. Proc. Edinburgh Math. Soc (2008).
- S Kaliszewski, John Quigg. Landstad's characterization for full crossed products. New York J. Math (2007).
- John Quigg. Bundles of C*-correspondences over directed graphs and a theorem of Ionescu. Proc. Amer. Math. Soc (2006).
- Echterhoff, S., Kaliszewski, S., Quigg, J., Raeburn, I. A Categorical Approach to Imprimitivity Theorems for C*-Dynamical Systems. (2006).
- D Pask, John Quigg, I Raeburn. Coverings of k-graphs. J. Algebra (2005).
- Steven Kaliszewski, John Quigg. Mansfield's Imprimitivity Theorem for Full Crossed Products. Trans. Amer. Math. Soc (2005).
- D Pask, John Quigg, I Raeburn. Fundamental groupoids of k-graphs. New York J. Math (2004).
- John Quigg, R Exel, M Laca. Partial dynamical systems and C*-algebras generated by partial isometries. J. Operator Theory (2002).
- John Quigg, S Echterhoff. Full duality for coactions of discrete groups. Math. Scand (2002).
- John Quigg, S Kaliszewski. Three bimodules for Mansfield's imprimitivity theorem. J. Austral. Math. Soc (2001).
- Steven Kaliszewski, John Quigg, I Raeburn. Skew products and crossed products by coactions. J. Operator Theory (2001).
- S Echterhoff, S Kaliszewski, John Quigg, I Raeburn. Naturality and induced representations. Bull. Austral. Math. Soc (2000).
- S Kaliszewski, John Quigg. Equivariance and imprimitivity for discrete Hopf C*-coactions. Bull. Austral. Math. Soc (2000).

## Research Activity

- Quigg,John C*, Kaliszewski,Steven, Spielberg,John Samuel. Collaborative Research: Operator theoryoperator algebras GPOTS 2011-2012. NSF-MPS-DMS(1/15/2011 - 12/31/2013).
- Quigg,John C*. WEST COAST OPERATOR ALGEBRA SEMINAR. NSF-MPS(8/15/2001 - 7/31/2002).
- Quigg,John C*. C* DYNAMICAL SYSTEMS. NSF-MPS(6/15/1994 - 5/31/1998).
- Quigg,John C*. MATHEMATICAL SCIENCE: HILBERT SPACE OPERATORS. NSF(7/1/1988 - 6/30/1992).

## Teaching Website

## Courses

Spring 2019 | |
---|---|

Course Number | Course Title |

STP 421 | Probability |

MAT 499 | Individualized Instruction |

MAT 590 | Reading and Conference |

MAT 599 | Thesis |

MAT 792 | Research |

MAT 799 | Dissertation |

Fall 2018 | |
---|---|

Course Number | Course Title |

MAT 265 | Calculus for Engineers I |

MAT 572 | Complex Analysis I |

MAT 590 | Reading and Conference |

MAT 599 | Thesis |

MAT 792 | Research |

MAT 799 | Dissertation |

Summer 2018 | |
---|---|

Course Number | Course Title |

MAT 792 | Research |

Spring 2018 | |
---|---|

Course Number | Course Title |

MAT 300 | Mathematical Structures |

MAT 499 | Individualized Instruction |

MAT 590 | Reading and Conference |

MAT 599 | Thesis |

MAT 792 | Research |

MAT 799 | Dissertation |

Fall 2017 | |
---|---|

Course Number | Course Title |

MAT 300 | Mathematical Structures |

MAT 472 | Intermediate Real Analysis I |

MAT 590 | Reading and Conference |

MAT 599 | Thesis |

MAT 792 | Research |

MAT 799 | Dissertation |

Summer 2017 | |
---|---|

Course Number | Course Title |

MAT 792 | Research |

Spring 2017 | |
---|---|

Course Number | Course Title |

MAT 266 | Calculus for Engineers II |

MAT 371 | Advanced Calculus I |

MAT 590 | Reading and Conference |

MAT 792 | Research |

MAT 799 | Dissertation |

Fall 2016 | |
---|---|

Course Number | Course Title |

MAT 590 | Reading and Conference |

MAT 599 | Thesis |

MAT 792 | Research |

MAT 799 | Dissertation |

Summer 2016 | |
---|---|

Course Number | Course Title |

MAT 792 | Research |

Spring 2016 | |
---|---|

Course Number | Course Title |

MAT 571 | Real Analysis II |

MAT 590 | Reading and Conference |

MAT 599 | Thesis |

MAT 792 | Research |

MAT 799 | Dissertation |

Fall 2015 | |
---|---|

Course Number | Course Title |

MAT 472 | Intermediate Real Analysis I |

MAT 570 | Real Analysis I |

MAT 590 | Reading and Conference |

MAT 599 | Thesis |

MAT 792 | Research |

MAT 799 | Dissertation |

Summer 2015 | |
---|---|

Course Number | Course Title |

MAT 792 | Research |

Spring 2015 | |
---|---|

Course Number | Course Title |

MAT 571 | Real Analysis II |

MAT 792 | Research |

MAT 799 | Dissertation |

Fall 2014 | |
---|---|

Course Number | Course Title |

STP 421 | Probability |

MAT 570 | Real Analysis I |

MAT 590 | Reading and Conference |

MAT 792 | Research |

MAT 799 | Dissertation |

Summer 2014 | |
---|---|

Course Number | Course Title |

MAT 792 | Research |

## Presentations

- John Quigg. Proper actions and coactions. ASU C*-Seminar (Oct 2014).
- John Quigg. The nondegenerate, the enchilada, and the outer. seminar at University of Otago, New Zealand (Aug 2014).
- John Quigg. The nondegenerate, the enchilada, and the outer. seminar at University of Wollongong, Australia (Jul 2014).
- John Quigg. Trouble in CP-Land. Great Plains Operator Theory Symposium, Manhattan, KS (May 2014).
- John Quigg. Trouble in CP-Land. seminar at Dartmouth College (May 2014).
- John Quigg. Exact and exotic crossed products. ASU C*-Seminar (Oct 2013).
- John Quigg. Exotic coactions. seminar at Norwegian University of Science and Technology (Aug 2013).
- John Quigg. Exotic coactions. Workshop on groups, dynamical systems, and C*-algebras (Aug 2013).
- John Quigg. Exotic coactions. Great Plains Operator Theory Symposium, Berkeley, CA (May 2013).
- John Quigg. K-theory for C*-algebras. ASU C*-Seminar (Feb 2013).
- John Quigg. Fell bundles and imprimitivity theorems: towards a universal generalized fixed point algebra. seminar at Norwegian University of Science and Technology (Nov 2012).
- John Quigg. Functoriality and Cuntz-Pimsner algebras. seminar at Norwegian University of Science and Technology (Oct 2012).
- John Quigg. Exotic group C*-algebras. seminar at University of Oslo (Aug 2012).
- John Quigg. Functoriality of Cuntz-Pimsner algebras. Great Plains Operator Theory Symposium, Houston, TX, (Jun 2012).
- John Quigg. Fell bundles over groupoids, and imprimitivity. Groupoid Fest, Reno, NV (Jan 2012).
- John Quigg. Intro to Hilbert modules. ASU C*-Seminar (Sep 2011).
- John Quigg. A crossed-product approach to the Cuntz-Li algebras. seminar at University of Otago (Jul 2011).
- John Quigg. Functoriality of Cuntz-Pimsner algebras. seminar at University of Wollongong (Jul 2011).
- John Quigg. Fields, bundles and Hilbert modules, wrap-up. ASU C*-Seminar (Apr 2011).
- John Quigg. Organizational meeting - C*-bundles. ASU C*-Seminar (Jan 2011).
- John Quigg. Topological graphs and principal bundles. Oslo-Trondheim operator algebra seminar (1-day conference), Oslo, Norway (Dec 2010).
- John Quigg. Introduction to graph algebras and Cuntz-Pimsner algebras. ASU C*-Seminar (Nov 2010).
- John Quigg. Introduction to Hilbert modules. ASU C*-Seminar (Sep 2010).
- Steve Kaliszewski and John Quigg. Categorical Perspectives in noncommutative duality. Summer school on C*-algebras and their interplay with dy- namical systems, Sophus Lie Conference Cen (Jun 2010).
- John Quigg. Multiplier bimodules and Cuntz-Pimsner algebras. Great Plains Operator Theory Symposium, Denver, CO (Jun 2010).
- John Quigg. Topological graphs and principal bundles. seminar at Norwegian University of Science and Technology (May 2010).
- John Quigg. Topological graphs and principal bundles. colloquium at Dartmouth College, Hanover, NH (Apr 2010).
- Quigg, John. Skew Products of Topological Graphs and Noncommutative Duality. Special Session on Operator Algebras, Regional AMS Meeting, Riverside, CA (Nov 2009).
- John Quigg. Skew products of topological graphs and noncommutative duality. C*-Seminar (Nov 2009).
- John Quigg. Skew products of topological graphs and noncommutative duality. Fields Institute (Toronto, Canada) (Jul 2009).
- John Quigg. Application of coactions to direct integrals. Great Plains Operator Theory Symposium, Boulder, CO (Jun 2009).
- John Quigg. Topological graphs. C*-Seminar (Apr 2009).
- John Quigg. C*-Coactions and Fell Bundles - the Discrete Case. Noncommutative Duality Week, Dartmouth College (Feb 2009).
- John Quigg. The spectral theorem, and Fell bundles over groupoids, III. C*-Seminar (Dec 2008).
- John Quigg. The spectral theorem, and Fell bundles over groupoids, II. C*-Seminar (Nov 2008).
- John Quigg. Application of coactions to direct integrals. Groupoid Fest, Riverside, CA (Nov 2008).
- John Quigg. The spectral theorem, and Fell bundles over groupoids. C*-Seminar (Oct 2008).
- John Quigg. Applications of non-abelian duality to higher-rank graph C*-algebras. University of Wollongong (Australia) (Aug 2008).
- John Quigg. Applications of non-abelian duality to higher-rank graph C*-algebras. University of New South Wales (Sydney, Australia) (Aug 2008).
- John Quigg. Applications of non-abelian duality to higher-rank graph algebras. University of Guelph (Canada) (Jul 2008).
- John Quigg. Coverings of skew-products and crossed products by coactions. Fields Institute (Toronto, Canada) (Jul 2008).
- John Quigg. Coverings of skew-products and crossed products by coactions. Great Plains Operator Theory Symposium, Cincinnati, OH (Jun 2008).
- John Quigg. Proper actions, fixed-point algebras, and naturality in nonabelian duality. C*-Algebras Associated to Discrete and Dynamical Systems, BIRS, Banff (Canada) (Jan 2008).
- Quigg, John. Categorical Landstad duality (3 talks). ASU C*-Seminar (Sep 2006).
- Kaliszewski, S, Quigg, John. Landstad's characterization for full crossed products. University of Newcastle, Newcastle, Australia (Aug 2006).
- Kaliszewski, S, Quigg, John. A groupoid approach to imprimitivity theorems. Norwegian University of Science and Technology, Trondheim, Norway (Jun 2006).
- Kaliszewski, S, Quigg, John. A groupoid approach to imprimitivity theorems. University of Oslo, Oslo, Norway (Jun 2006).
- Kaliszewski, S, Quigg, John. Landstad's characterization for full crossed products. Great Plains Operator Theory Symposium (May 2006).
- Quigg, John. Weaver's proof of spectral multiplicity (2 talks). ASU C*-Seminar (Feb 2006).
- Kaliszewski, S, Muhly, P, Quigg, John. Groupoid bundles and imprimitivity. Groupoid Fest, Ames, IA (Nov 2005).
- Quigg, John. C*-Completions of Hecke Algebras. Operator Algebras and Applications (Jun 2005).
- Kaliszewski, S, Lansdtad, M, Quigg, John. C*-Completions of Hecke Algebras. Operator Algebras and Applications, National University of Ireland, Cork, Ireland (Jun 2005).
- Quigg, John. Fundamental Groupoids of Categories. Groupoid Fest (Nov 2004).
- Quigg, John. k-graphs, coverings, and coactions. NSF-CBMS Regional Research Conference on Graph Algebras (Jun 2004).
- Quigg, John. k-graphs, coverings, and coactions. Great Plains Operator Theory Symposium (May 2004).
- Quigg, John. k-Graphs, Coverings, and Coactions. Special Session on Groupoids in Analysis and Geometry, Regional AMS Meeting (Oct 2003).
- Quigg, John. The full Mansfield, Special Session on operator algebras and noncommutative geometry. Annual Meeting of the Australian Mathematical Society (Oct 2002).
- Quigg, John. The full Mansfield. Great Plains Operator Theory Symposium (May 2002).
- Quigg, John. Maximal coactions. Centre for Advanced Study (Dec 2001).
- Quigg, John. Maximal coactions, Special Session on C*-algebras and crossed products. Regional AMS Meeting (Mar 2001).
- Quigg, John. A groupoid approach to imprimitivity theorems. Groupoid Fest (Nov 2000).
- Quigg, John. Categorical Landstad duality. C*-Algebras and Their Invariants
- Quigg, John. Categorical Landstad duality. Great Plains Operator Theory Symposium
- Quigg, John. Categorical Landstad duality. Norwegian University of Science and Technology
- Quigg, John. Coactions: a curious category. University of Wollongong
- Quigg, John. Using groupoids to restrict coactions to homogeneous spaces. Groupoid Fest

## Service

- Theoretical Math Seminar Committee, member (2013 - Present)
- Graduate Committee, member (head of MAT PhD program) (2010 - Present)
- Ad hoc committee to revise analysis qualifier sequence, member (2008 - Present)
- Faculty Mentor, mentor (2007 - Present)
- Faculty Mentor (Susanna Fischel), (2007 - Present)
- Rocky Mountain Journal of Mathematics, managing editor (2001 - Present)
- Graduate Committee, member (head of MAT PhD program) (2014 - 2015)
- Transactions of the American Mathematical Society, referee (2014 - 2014)
- Indiana University Mathematics Journal, referee (2014 - 2014)
- Graduate Committee, member (head of MAT PhD program) (2013 - 2014)
- Theoretical Math Seminar Committee, chair (2013 - 2014)
- Bulletin of the London Mathematical Society, referee (2014 - 2014)
- Dartmouth College, external opponent for PhD defense (2014 - 2014)
- Indo-US Science & Technology Forum (IUSSTF), referee grant proposal (2014 - 2014)
- Applied Categorical Structures, referee (2013 - 2013)
- Indiana University Mathematics Journal, referee (2013 - 2013)
- National Security Administration, referee grant proposal (2013 - 2013)
- Transactions of the American Mathematical Society, referee (2013 - 2013)
- Tenure and Promotion Committee for Wenbo Tang, member (2013 - 2013)
- Bulletin of the London Math Society, referee (2012 - 2012)
- Norwegian University of Science and Technology, external reviewer for promotion to full professor (2012 - 2012)
- University of Oslo, external opponent for PhD defense (2012 - 2012)
- Graduate Committee, member (head of MAT PhD program) (2010 - 2012)
- Studia Mathematica, referee (2011 - 2011)
- Great Plains Operator Theory Symposium (GPOTS), co-organize with S. Kaliszewski and J. Spielberg (2010 - 2011)
- Proceedings American Mathematical Society, referee (2010 - 2011)
- Studia Mathematica, referee (2009 - 2010)
- Personnel and Budget Committee, member (2006 - 2010)
- Studia Mathematica, referee (2009 - 2010)
- International Journal of Mathematics and Mathematical Sciences, referee (2009 - 2009)
- International Journal of Mathematics and Mathematical Sciences, referee (2009 - 2009)
- Personnel and Budget Committee, member (2006 - 2009)
- Journal of Operator Theory, referee (2008 - 2008)
- In charge of Math PhD program, chair (2008 - 2008)
- National Science Foundation, referee grant proposal (2008 - 2008)
- National Security Administration, referee grant proposal (2008 - 2008)
- Studia Mathematica, referee (2008 - 2008)
- Director Search Committee, member (2007 - 2008)
- Search Committee, Chair (2007 - 2008)
- Rocky Mountain Journal of Mathematics, referee (2008 - 2008)
- Bulletin of the Brazilian Mathematical Society, referee (2007)
- Journal of Functional Analysis, referee (2007)
- Proceedings of the London Mathematical Society, referee (2007)
- US-Israel Binational Science Foundation, referee grant proposal (2007)
- AMS Special Session on Operator Algebras, co-organize with S. Kaliszewski and J. Spielberg (2006 - 2007)
- J. Operator Theory, referee (2006 - 2006)
- Proc. Amer. Math. Soc, referee (2006 - 2006)
- Rocky Mountain J. Math, referee (2006 - 2006)
- Groupoid Fest, co-organize with S. Kaliszewski and J. Spielberg (2006 - 2006)
- Grad Committee, member (2005 - 2006)
- Dean's Faculty Advisory Council, chair (2003 - 2006)
- Dean's Faculty Advisory Council, member (2003 - 2006)
- Qualifier Exam Committee, member (2005 - 2005)
- Central European Journal of Mathematics, referee (2005 - 2005)
- Expositiones Mathematicae, referee (2005 - 2005)
- Qualifier Exam Committee, chair (2005 - 2005)
- University Sains Malaysia, external promotion/tenure reviewer (2005 - 2005)
- University of Newcastle, Newcastle, Australia, external PhD thesis examiner (2005 - 2005)
- Proceedings of the American Mathematical Society, referee (2003 - 2004)
- Promotion Subcommittee, chair (2003 - 2004)
- Rocky Mountain Journal of Mathematics, referee (2003 - 2004)
- Hiring Committee, chair (2004)
- Affirmative Action Committee, chair (2003)
- Graduate Mentoring Committee, member (2003)
- Search Committee, chair (2003)
- Transactions of the American Mathematical Society, referee (2003)