Given a reduced *-algebra A admitting an enveloping C*-algebra, there are in general many non-isomorphic C*-completions of A. However, if the enveloping C*-algebra is the unique C*-completion of A up to isomorphism, we say A is C*-unique. The study of C*-uniqueness for L^1-algebras of locally compact groups began in the late 70s, but little progress has been made since the late 80s. In this talk we give an introduction to the question of C*-uniqueness for L^1-algebras of groups and groupoids and show how one can use groupoid techniques to prove that L^1(G) has a unique C*-norm whenever G is a polycyclic-by-finite group.
ASUERAU C*-Seminar
November 16, 2022
WXLR A307 and Virtual via Zoom
1:30-2:45pm MST/AZ
Our C*-Seminar will again be on Wednesdays from 1:30-2:45 pm (Arizona time, no daylight savings), meeting both in person (WXLR A307) and via zoom.
Also new: it's now the ASUERAU C*-Seminar (so, joint with our friends Lara and Mitch at Embry-Riddle Aeronautical University up the road in Prescott).
(Please email the organizer John Quigg quigg@asu.edu to be put on the email list if you would like to receive the link to the zoom seminar.)
Are Austad
Analysis
University of Southern Denmark