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Texas A&M University
Mathematics

Groups and Dynamics Seminar

Date: February 3, 2021

Time: 12:00PM - 1:00PM

Location: online

Speaker: Alina Vdovina, Newcastle University, UK

  

Title: Buildings, C*-algebras and new higher-dimensional analogues of the Thompson groups

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-isomophic groups.