Buildings, C*-algebras and new higher-dimensional analogues of the Thompson groups
Time and place
12:30–1:30 PM on Thursday, December 8th, 2022; NAC 6/114
Alina Vdovina (CCNY)
Note
This is a joint CCNY math colloquium/AWM/Math club talk.
Abstract
We present explicit constructions of infinite families of CW-complexes of arbitrary dimension with buildings as the universal covers. These complexes give rise to new families of C*-algebras, classifiable by their K-theory. The underlying building structure allows explicit computation of the K-theory. We will also present new higher-dimensional generalizations of the Thompson groups, which are usually difficult to distinguish, but the K-theory of C*-algebras gives new invariants to recognize non-isomorphic groups.
