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DTSTART;TZID=America/Los_Angeles:20260219T161500
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SUMMARY:Analysis Seminar: Choquet simplices of groups and C*-algebras (Itamar Vigdorovich\, UCSD)
DESCRIPTION:Abstract: Let C be a compact convex set (in a locally convex topological vector space). By Choquet’s theorem\, every point in C is the barycenter of a probability measure supported on the extreme points. When this representing measure is unique\, C is called a simplex. \nSimplices arise naturally in various fields of mathematics: the space of invariant probability measures of a dynamical system is a simplex\, and so is the space of tracial states on a C*-algebra. In the group case\, the simplex of characters provides a framework for a non-commutative Fourier transform. \nI will also discuss results and phenomena for traces of free products\, fundamental groups of surfaces\, Kazhdan groups\, and related classes.
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-choquet-simplices-of-groups-and-c-algebras-itamar-vigdorovich-ucsd/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
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