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## Steven Kaliszewski

Professor

Faculty

TEMPE Campus

Mailcode

1804

## Biography

Steven Kaliszewski has spent the better part of his career working to build and understand the theory of operator algebras, and in particular crossed-product C*-algebras. C*-algebras, essentially collections of infinite-dimensional matrices, model the behavior of quantum-mechanical systems: Just as successive measurements of a quantum system can give a different result when taken in reverse order, so does the product of two matrices (usually) depend on the order in which they are multiplied. Crossed-product C*-algebras further incorporate the time-evolution and other symmetries of a system into the model by using group actions.

Throughout the second half of the 20th century, quantum mechanics and operator algebras developed together, and ultimately the study of the latter became a mathematical end in itself. Since then, the field has produced elegant fundamental theorems, deep unanswered questions, and unexpected connections with many other branches of mathematics.

## Education

Ph.D. Dartmouth College, Hanover, NH 1994

## Publications

- S. Kaliszewski, Tron Omland, and John Quigg. Cuntz-Li algebras from a-adic numbers. Rev. Roumaines Math. Pures Appl (2014).
- A. an Huef, S. Kaliszewski, I. Raeburn, and D. P. Williams. Naturality of symmetric imprimitivity theorems. Proc. Amer. Math. Soc (2013).
- S. Kaliszewski and John Quigg. Coactions and skew products for topological graphs. Integr. Equ. Oper. Theory (2013).
- S. Kaliszewski, John Quigg, and David Robertson. Functoriality of Cuntz-Pimsner correspondence maps. J. Math. Anal. Appl (2013).
- S. Kaliszewski, Magnus B. Landstad, and John Quigg. Exotic group C*-algebras in noncommutative duality. New York J. Math (2013).
- S. Kaliszewski, N. Patani, J. Quigg,. Obstructions to a general characterization of graph correspondences. J. Austral. Math. Soc (2013).
- S. Kaliszewski, P. Muhly, J. Quigg, and D.P. Williams. Fell bundles and imprimitivity theorems: towards a universal generalized fixed-point algebra. Indiana Univ. Math. J (2013).
- S. Kaliszewski, Paul S. Muhly, John Quigg, and Dana P. Williams. Fell Bundles and Imprimitivity Theorems. Munster J. Math (2013).
- S. Kaliszewski, Paul S. Muhly, John Quigg, and Dana P. Williams. Fell bundles and imprimitivity theorems: Mansfield's and Fell's Theorems. J. Aust. Math. Soc (2013).
- S. Kaliszewski, M. Landstad, and J. Quigg. A crossed-product approach to the Cuntz-Li algebras,. Proc. Edinburgh Math. Soc (2012).
- S. Kaliszewski, N. S. Larsen, and J. Quigg. Inner coactions, Fell bundles, and abstract uniqueness theorems. Münster Journal of Mathematics (2012).
- S. Kaliszewski, Nura Patani, John Quigg. Characterizing graph C*-correspondences. Houston J. Math (2012).
- Astrid an Huef, S. Kaliszewski, Iain Raeburn, Dana Williams. Fixed-point algebras for proper actions and crossed products by homogeneous spaces. Illinois J. Math (2011).
- Astrid an Huef, S. Kaliszewski, Iain Raeburn, Dana Williams. Naturality of Rieffel's Morita equivalence for proper actions. Algebr. Represent. Theory (2011).
- E. B ´edos, S. Kaliszewski, and J. Quigg. On reflective-coreflective equivalence and associated pairs. Theory Appl. Categ (2011).
- E. Bedos, S. Kaliszewski, J. Quigg,. Reflective-coreflective equivalence. Theory and Applications of Categories (2011).
- S. Kaliszewski, Paul Muhly, John Quigg, Dana Williams. Coactions and Fell bundles. New York J. Math (2010).
- Astrid Huef, Steven Kaliszewski, Iain Raeburn, Dana Williams. Extension problems for representations of crossed-product C*-algebras. Journal of Operator Theory (2009).
- S. Kaliszewski and J. Quigg. Categorical Landstad duality for actions. Indiana J. Math (2009).
- S. Kaliszewski, M. Landstad, and J. Quigg. Hecke C*-algebras and semidirect products. Proc. Edinburgh Math. Soc (2009).
- Astrid an Huef, Steven Kaliszewski, Iain Raeburn. Covariant representations of Hecke algebras and imprimitivity for crossed products by homegeneous spaces. J. Pure and Appl. Algebra (2008).
- Astrid Huef, Steven Kaliszewski. Covariant representations of Hecke algebras and imprimitivity for crossed products by homegeneous spaces. Journal of Pure and Applied Algebra (2008).
- S. Kaliszewski, J. Quigg, and I. Raeburn. Proper actions, fixed-point algebras and naturality in nonabelian duality,. J. Funct. Anal (2008).
- Steven Kaliszewski, Magnus Landstad, John Quigg. Hecke C*-algebras, Schlichting completions, and Morita equivalence. Proc. Edinburgh Math. Soc (2008).
- Astrid an Huef, S. Kaliszewski, Iain Raeburn, Dana Williams. Induction in stages for crossed products of C*-algebras by maximal coactions. J. Funct. Anal (2007).
- Astrid Huef, Steven Kaliszewski, Iain Raeburn. Extension problems and non-abelian duality for C*-algebras. Bulletin of the Australian Mathematical Society (2007).
- Steven Kaliszewski, John Quigg. Landstad's characterization for full crossed products. New York Journal of Mathematics (2007).
- S Echterhoff, Steven Kaliszewski, J Quigg, I Raeburn. A Categorical Approach to Imprimitivity Theorems for C*-Dynamical Systems. Memoirs of the American Mathematical Society (2006).
- Echterhoff, S, Kaliszewski, Steven, Quigg, J, Raeburn, I. A categorical approach to imprimitivity theorems for C*-dynamical systems. (2006).
- Steven Kaliszewski, John Quigg. Mansfield's Imprimitivity Theorem for Full Crossed Products. Trans. Amer. Math. Soc (2005).
- S Echterhoff, Steven Kaliszewski, J Quigg. Maximal Coactions. Int. J. Math (2004).
- Steven Kaliszewski, J Quigg. Three bimodules for Mansfield's imprimitivity theorem. J. Aust. Math. Soc (2001).
- Steven Kaliszewski, John Quigg, I Raeburn. Skew products and crossed products by coactions. J. Operator Theory (2001).
- S Echterhoff, Steven Kaliszewski, J Quigg, I Raeburn. Naturality and induced representations. Bull. Aust. Math. Soc (2000).
- Steven Kaliszewski, J Quigg. Equivariance and imprimitivity for discrete Hopf C*-coactions. Bull. Aust. 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).

## Teaching Website

## Courses

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

Course Number | Course Title |

MAT 499 | Individualized Instruction |

MAT 571 | Real Analysis II |

MAT 591 | Seminar |

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

Course Number | Course Title |

MAT 371 | Advanced Calculus I |

MAT 570 | Real Analysis I |

MAT 591 | Seminar |

MAT 599 | Thesis |

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

Course Number | Course Title |

MAT 473 | Intermediate Real Analysis II |

MAT 579 | Functional Analysis II |

MAT 591 | Seminar |

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

Course Number | Course Title |

MAT 472 | Intermediate Real Analysis I |

MAT 578 | Functional Analysis I |

MAT 591 | Seminar |

MAT 599 | Thesis |

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

Course Number | Course Title |

MAT 371 | Advanced Calculus I |

MAT 579 | Functional Analysis II |

MAT 591 | Seminar |

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

Course Number | Course Title |

MAT 442 | Advanced Linear Algebra |

MAT 578 | Functional Analysis I |

MAT 591 | Seminar |

MAT 599 | Thesis |

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

Course Number | Course Title |

MAT 300 | Mathematical Structures |

MAT 573 | Complex Analysis II |

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

Course Number | Course Title |

MAT 300 | Mathematical Structures |

MAT 572 | Complex Analysis I |

## Presentations

- S. Kaliszewski. Analytic Combinatorics for Operator Algebraists. Operator Algebra Seminar (Aug 2012).
- S. Kaliszewski. Transfer Theorems in Analytic Combinatorics. Encuentro Colombiano de Combinatoria ECCO 2012 (Jun 2012).
- S. Kaliszewski, N. S. Larsen, and John Quigg. Inner Coactions, Fell Bundles, and Abstract Uniqueness Theorems. Great Plains Operator Algebra Symposium (Jun 2012).
- S. Kaliszewski. Cuntz-Krieger Uniqueness and Coburn's Theorem. C*-algebra seminar (Sep 2011).
- S. Kaliszewski, P. Muhly, J. Quigg, D. Williams. Fell bundles and a universal fixed-point algebra. Oslo-Trondheim operator algebra seminar (Dec 2010).
- S. Kaliszewski. Compact quantum groups. C*-seminar (Oct 2010).
- S. Kaliszewski, J. Quigg. mini-course: Categorical perspectives in noncommutative duality. Summer school on C*-algebras and their interplay with dynamical systems (Jun 2010).
- S. Kaliszewski, N. Patani, J. Quigg. Characterizing graph C*-correspondences. Kempner Colloquium (Apr 2010).
- S. Kaliszewski. A C*-Coaction Primer. Noncommutative Duality Week (Feb 2009).
- S. Kaliszewski, J. Quigg, I. Raeburn. Proper Actions and Categorical Landstad Duality. Great Plains Operator Algebra Symposium, Cincinnati OH (Jun 2008).
- an Huef, Astrid, Raeburn, Iain, Kaliszewski, Steven, Williams, Dana. Induction in Stages for C*-Crossed Products by Maximal Coactions. Great Plains Operator Theory Symposium (May 2006).
- Kaliszewski, Steven, Muhly, Paul, Quigg, John. Groupoid Bundles and Imprimitivity. Groupoid Fest (Nov 2005).
- an Huef, Astrid, Kaliszewski, Steven, Raeburn, Iain. Representations of Hecke Algebras and Semigroup Crossed Products. Analysis Seminar, School of Mathematical and Physical Sciences (May 2005).
- an Huef, Astrid, Kaliszewski, Steven, Raeburn, Iain. Covariant Representations of Hecke Algebras. Departmental Seminar, Department of Pure Mathematics (Apr 2005).
- an Huef, A, Kaliszewski, Steven. Symmetric Imprimitivity Theorems and 'Hash Products. Iowa-Nebraska Functional Analysis Seminar (Oct 2004).
- an Huef, A, Kaliszewski, Steven, Raeburn, I. Extensions of representations of C*-dynamical systems. Great Plains Operator Theory Symposium (May 2004).
- an Huef, A, Kaliszewski, Steven, Raeburn, I. Extensions of representations of C*-dynamical systems. NSF-CBMS Regional Research Conference on Graph Algebras (May 2004).
- Kaliszewski, Steven. Induction and restriction of group representations. AMS Joint Central and Western Section Meeting (Oct 2003).
- Kaliszewski, Steven. C*-crossed products, duality, and homogeneous spaces. International Congress on Industrial and Applied Mathematics (Jul 2003).
- Kaliszewski, Steven. Mansfield Imprimitivity for Full Crossed Products. Analysis Seminar, School of Mathematical and Physical Sciences (Jul 2002).
- Kaliszewski, Steven. Hecke Groups and C-Algebras. Great Plains Operator Theory Symposium (May 2002).
- Kaliszewski, Steven. Naturality and Induced Representations for C-Dynamical systems. (Dec 2001).
- Kaliszewski, Steven. Maximal Coactions. Great Plains Operator Theory Symposium (Jun 2001).
- Kaliszewski, Steven. The Mackey Quotient Groupoid. Groupoid Fest (Nov 2000).
- Kaliszewski, Steven. Coactions of and crossed products by homogeneous spaces. Great Plains Operator Theory Symposium

## Professional Associations

<p>American Mathematical Society Mathematical Association of America Australian Mathematical Society Phi Beta Kappa</p>

## Service

- Rocky Mountain Journal of Mathematics, Referee (2014 - Present)
- Journal of Functional Analysis, Referee (2013 - Present)
- Mathematica Slovaca, Referee (2013 - Present)
- Houston J. Math., Referee (2012 - Present)
- Great Plains Operator Algebra Symposium, co-organizer (2011 - Present)
- Boletim da Sociedade Brasileira de Matematica, Referee (2010 - Present)
- BULLETIN of the Malaysian Mathematical Sciences Society, Referee (2010 - Present)
- AMS MathSciNet Reviews, Reviewer (2006 - Present)
- AMS MathSciNet Reviews, Reviewer (2006 - Present)
- Rocky Mountain Journal of Mathematics, Referee (2006 - Present)
- Rocky Mountain Journal of Mathematics, Referee (2006 - Present)
- PBC, Elected member (2014 - 2016)
- PBC, Elected member (2011 - 2013)
- PBC, Elected member (2011 - 2012)
- Comprehensive Exam Committee, member (2008 - 2008)
- West Coast Operator Algebra Symposium, organizer (2008 - 2008)
- Director Search Committee, Elected member (2007 - 2008)
- PBC, Elected member (2007 - 2008)
- Comprehensive Exam Committee, member (2008 - 2008)
- Analysis Qualifying Exam committee, Appointed member (2006 - 2006)
- Groupoid Fest, ASU, Co-organizer (2006 - 2006)
- Web Site committee, Appointed member (2005 - 2006)
- Calculus/Engineering Liaison Committee, Appointed member (2000 - 2001)
- Mathematics Department Self-Study Committee, Appointed member (1999 - 2001)
- Colloquium and Math Awareness Committee, Appointed member (1998 - 2001)
- West Coast Operator Algebra Seminar, ASU, Co-organizer (2001 - 2001)
- AMS Western Regional Meeting Special Session "C-Algebras and Crossed Products" Lawrence KS, Co-organizer (2001 - 2001)
- AMS Central Regional Meeting Special Session "Operator Algebras", San Francisco CA, Co-organizer (2000 - 2000)
- Department of Mathematics, University of Newcastle, Australia, Honors Thesis external reviewer (2000 - 2000)