Geometric property (T) and Kazhdan projections

Author:

Vergara I.1ORCID

Affiliation:

1. Departamento de Matemática y Ciencia de la Computación Universidad de Santiago de Chile Santiago Chile

Abstract

AbstractWe characterise Geometric Property (T) by the existence of a certain projection in the maximal uniform Roe algebra , extending the notion of Kazhdan projection for groups to the realm of metric spaces. We also describe this projection in terms of the decomposition of the metric space into coarsely connected components.

Funder

Fondo Nacional de Desarrollo Científico y Tecnológico

Publisher

Wiley

Reference13 articles.

1. Unbounded Negative Definite Functions

2. Kazhdan's Property (T)

3. Filter products of C0-semigroups and ultraproduct representations for Lie groups

4. Graduate Texts in Mathematics;Diestel R.,2018

5. Geometrization of the strong Novikov conjecture for residually finite groups;Gong G.;J. Reine Angew. Math.,2008

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