Mathematics Colloquium: Alina Vdovina (CCNY) - Buildings, C*-algebras and new higher-dimensional analogues of the Thompson groups

Thu, Dec 08, 2022 - 12:30 PM — Thu, Dec 08, 2022 - 01:30 PM
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Event Address
The City College of New York, 160 Convent Ave, New York, NY 10031
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Secondary Phone
Event Location
North Academic Center (NAC) Room 6/114
Event Details

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.​

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