Roe algebras are rigid

Diego Martinez (University of Muenster)

Thursday 2nd May 16:00-17:00 Maths 116

Abstract

Given an (extended) metric space one can associate with it several C*-algebras of geometric importance. In order to do this, one considers operators on the space that are only allowed to move the space in a "controlled" manner. These operators form a *-algebra, whose closure is a "Roe-like algebra". In this talk we will discuss these Roe algebras, their importance, and the fact that they are complete invariants of the coarse geometry of the space. Namely, we will discuss how isomorphisms of the algebras give rise to coarse equivalences of the space. This is joint work with Federico Vigolo.

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