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Texas A&M University

Events for 09/02/2020 from all calendars

JD Kim Promotion Talk

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Time: 1:00PM - 2:00PM

Location: Zoom

Speaker: JD Kim

Noncommutative Geometry Seminar

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Time: 1:00PM - 2:00PM

Location: Zoom 942810031

Speaker: Bruno de Mendonca Braga, University of Virginia

Title: Coarse equivalences of metric spaces and outer automorphisms of Roe algebras

Abstract: Given a metric space $X$, the Roe algebra of $X$, denoted by $\mathrm{C}^*(X)$, is a $ \mathrm{C} ^*$-algebra which encodes many of $X$'s large scale geometric properties. In this talk, I will discuss some uniform approximability results for maps between Roe algebras (we call those "coarse-like properties"). I will then talk about applications of these uniform approximability results to isomorphisms between Roe algebras. In particular, given a uniformly locally finite metric space $X$, we obtain that the canonical map from the group of coarse equivalences of $X$ modulo the relation of closeness to the group of outer automorphisms of $ \mathrm{C} ^*(X)$ is surjective if $X$ has property A. This is a joint work with Alessandro Vignati.

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