CORDIS Project
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This project investigates the relationship between C*-algebras and the geometric properties of metric spaces and discrete groups. It aims to explore the implications of these relationships for mathematical conjectures and the classification of algebraic structures.
The overall goal of this proposal is a systematic study of C*-algebras related to coarse structures of metric spaces and discrete groups.
The background theme is the interplay between analysis and coarse geometry.
It addresses questions relating to exactness of discrete groups and spaces, Roe algebras and the Baum--Connes conjectures.The interplay between coarse and analytic properties is exemplified by the first objective: computing the nuclear dimension of Roe algebras in terms of asymptotic d…
UNIVERSITY OF SOUTHAMPTON
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