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Chinese Annals of Mathematics, Series B : Volume 38

Chinese Annals of Mathematics, Series B : Volume 37

Chinese Annals of Mathematics, Series B : Volume 36

Chinese Annals of Mathematics, Series B : Volume 35

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Laplacians and spectrum for singular foliations

C*-algebraic intertwiners for degenerate principal series of special linear groups

K-theory and the quantization commutes with reduction problem

Coarse embedding into uniformly convex Banach spaces

Conjugacy classes and characters for extensions of finite groups

Permanence of metric sparsification property under finite decomposition complexity

Geometric property (T)

Distortion of wreath products in Thompson’s group F

Rankin-Cohen deformations and representation theory

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Chinese Annals of Mathematics, Series B : Volume 35, Issue 1, January 2014

Chinese Annals of Mathematics, Series B : Volume 34

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Chinese Annals of Mathematics, Series B : Volume 27

Geometric property (T)

Content Provider	Springer Nature Link
Author	Willett, Rufus Yu, Guoliang
Copyright Year	2014
Abstract	This paper discusses “geometric property (T)”. This is a property of metric spaces introduced in earlier works of the authors for its applications to K-theory. Geometric property (T) is a strong form of “expansion property”, in particular, for a sequence (X $_{ n }$) of bounded degree finite graphs, it is strictly stronger than (X $_{ n }$) being an expander in the sense that the Cheeger constants h(X $_{ n }$) are bounded below.In this paper, the authors show that geometric property (T) is a coarse invariant, i.e., it depends only on the large-scale geometry of a metric space X. The authors also discuss how geometric property (T) interacts with amenability, property (T) for groups, and coarse geometric notions of a-T-menability. In particular, it is shown that property (T) for a residually finite group is characterised by geometric property (T) for its finite quotients.
Starting Page	761
Ending Page	800
Page Count	40
File Format	PDF
ISSN	02529599
Journal	Chinese Annals of Mathematics, Series B
Volume Number	35
Issue Number	5
e-ISSN	18606261
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2014-08-12
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Coarse geometry Expander Roe algebra Property (T) Asymptotic properties of groups Noncommutative topology Mathematics Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Remarks on the operator norm localization property

Preserving coarse properties

Remarks on ghost projections and ideals in the Roe algebras of expander sequences

Asymptotic dimension, property A, and Lipschitz maps

Coarse Non-Amenability and Coarse Embeddings

Ideals in the Roe algebras of discrete metric spaces with coefficients in $$ \mathcal{B} $$ (H)

Coarse median structures and homomorphisms from Kazhdan groups

On the quasidiagonality of Roe algebras

Relative expanders

Geometric property (T)

Similar Documents

Remarks on the operator norm localization property

Preserving coarse properties

Remarks on ghost projections and ideals in the Roe algebras of expander sequences

Asymptotic dimension, property A, and Lipschitz maps

Coarse Non-Amenability and Coarse Embeddings

Ideals in the Roe algebras of discrete metric spaces with coefficients in $$ \mathcal{B} $$ (H)

Coarse median structures and homomorphisms from Kazhdan groups

On the quasidiagonality of Roe algebras

Relative expanders

Geometric property (T)