C*-algebras coming from buildings and their K-theory.

Seminar series

Functional Analysis Seminar

Date

Thu, 21 Nov 2024
16:00

Location

Speaker

Alina Vdovina

Organisation

CUNY

We consider cross-product algebras of continuous functions on the boundary of buildings with cocompact actions. The main tool is to view buildings as universal covers of certain CW-complexes. We will find the generators and relations of the cross-product algebras and compute their K-theory. We will show how our algebras could be considered as natural generalizations of Vaughan Jones' Pythagorean algebras.