Geometric Property (T) and Kazhdan projections

Fuente: arXiv
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Auteur principal: Vergara, Ignacio
Format: Preprint
Publié: 2023
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author Vergara, Ignacio
author_facet Vergara, Ignacio
contents We characterise Geometric Property (T) by the existence of a certain projection in the maximal uniform Roe algebra $C_{u,\max}^*(X)$, 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.
format Preprint
id arxiv_https___arxiv_org_abs_2312_00893
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Geometric Property (T) and Kazhdan projections
Vergara, Ignacio
Operator Algebras
Group Theory
Metric Geometry
We characterise Geometric Property (T) by the existence of a certain projection in the maximal uniform Roe algebra $C_{u,\max}^*(X)$, 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.
title Geometric Property (T) and Kazhdan projections
topic Operator Algebras
Group Theory
Metric Geometry
url https://arxiv.org/abs/2312.00893