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Geometric and Functional Analysis : Volume 27

Geometric and Functional Analysis : Volume 26

Geometric and Functional Analysis : Volume 25

Geometric and Functional Analysis : Volume 25, Issue 6, December 2015

Geometric and Functional Analysis : Volume 25, Issue 5, October 2015

Geometric and Functional Analysis : Volume 25, Issue 4, July 2015

Geometric and Functional Analysis : Volume 25, Issue 3, June 2015

Geometric and Functional Analysis : Volume 25, Issue 2, April 2015

Relative expanders

Stability of symmetric spaces of noncompact type under Ricci flow

Spectral synthesis in de Branges spaces

The Second Moment of Twisted Modular L-Functions

Asymptotically conical Calabi–Yau metrics on quasi-projective varieties

Tangents and Rectifiability of Ahlfors Regular Lipschitz Differentiability Spaces

Algebraic twists of modular forms and Hecke orbits

Arcs intersecting at most once

Geometric and Functional Analysis : Volume 25, Issue 1, February 2015

Geometric and Functional Analysis : Volume 24

Geometric and Functional Analysis : Volume 23

Geometric and Functional Analysis : Volume 22

Geometric and Functional Analysis : Volume 21

Geometric and Functional Analysis : Volume 20

Geometric and Functional Analysis : Volume 19

Geometric and Functional Analysis : Volume 18

Geometric and Functional Analysis : Volume 17

Geometric and Functional Analysis : Volume 16

Geometric and Functional Analysis : Volume 15

Geometric and Functional Analysis : Volume 14

Geometric and Functional Analysis : Volume 13

Geometric and Functional Analysis : Volume 12

Geometric and Functional Analysis : Volume 11

Geometric and Functional Analysis : Volume 10

Geometric and Functional Analysis : Volume 9

Geometric and Functional Analysis : Volume 8

Geometric and Functional Analysis : Volume 7

Relative expanders

Content Provider	Springer Nature Link
Author	Tessera, Romain Arzhantseva, Goulnara
Copyright Year	2015
Abstract	We exhibit a finitely generated group G and a sequence of finite index normal subgroups such that for every finite generating subset $${S\subseteq G}$$ , the sequence of finite Cayley graphs (G/N n , S) does not coarsely embed into any L p -space for $${1 \leqslant p < \infty}$$ (moreover, into any uniformly curved Banach space), and yet admits no weakly embedded expander. The reason why our examples do not coarsely embed is a new phenomenon called relative expansion, which we define in terms of Poincaré inequalities.
Ending Page	341
Page Count	25
Starting Page	317
File Format	PDF
ISSN	1016443X
e-ISSN	14208970
Journal	Geometric and Functional Analysis
Issue Number	2
Volume Number	25
Language	English
Publisher	Springer Basel
Publisher Date	2015-02-10
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Extensions, wreath products, and other compositions Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science Haagerup property box space Gromov’s a-T-menability Analysis Unitary representations of locally compact groups Relative Kazhdan’s property (T) Asymptotic properties of groups expander
Content Type	Text
Resource Type	Article
Subject	Analysis Geometry and Topology

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Relative expanders

Groups with the haagerup property : Gromov’s a-T-menability

Groups with the Haagerup Property: Gromov’s a-T-menability

On equivariant embeddings of generalized Baumslag–Solitar groups

Embeddings of locally compact hyperbolic groups into Lp-spaces

A Hilbert Module Approach to the Haagerup Property

Coarse embeddings into a hilbert space, haagerup property and poincaré inequalities (802).

Local similarities and the Haagerup property

Admitting a coarse embedding is not preserved under group extensions

Relative expanders

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Relative expanders

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