On almost representations of groups with property (T)

V. M. Manuilov; Chao You

doi:10.1134/S0001434608070213

On almost representations of groups with property (T)

V. M. Manuilov
, Chao You

School of Mathematics

Lomonosov Moscow State University

Research output: Contribution to journal › Article › peer-review

Abstract

Kazhdan's property (T) for groups is equivalent to the alternative that a representation of such a group either has an invariant vector or does not have even almost invariant vectors. It is shown that, under a somewhat stronger condition due to Żuk, a similar alternative holds for almost representations.

Original language	English
Pages (from-to)	207-217
Number of pages	11
Journal	Mathematical Notes
Volume	84
Issue number	1-2
DOIs	https://doi.org/10.1134/S0001434608070213
State	Published - Aug 2008

Keywords

-algebra
Almost representation
Group C
Group representation
Hilbert space
Kazhdan constant
Kazhdan's property (T) for groups
Linear operator
Żuk's condition

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10.1134/S0001434608070213

Cite this

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title = "On almost representations of groups with property (T)",

abstract = "Kazhdan's property (T) for groups is equivalent to the alternative that a representation of such a group either has an invariant vector or does not have even almost invariant vectors. It is shown that, under a somewhat stronger condition due to {\.Z}uk, a similar alternative holds for almost representations.",

keywords = "-algebra, Almost representation, Group C, Group representation, Hilbert space, Kazhdan constant, Kazhdan's property (T) for groups, Linear operator, {\.Z}uk's condition",

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KW - -algebra

KW - Almost representation

KW - Group C

KW - Group representation

KW - Hilbert space

KW - Kazhdan constant

KW - Kazhdan's property (T) for groups

KW - Linear operator

KW - Żuk's condition

UR - https://www.scopus.com/pages/publications/50849128774

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DO - 10.1134/S0001434608070213

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SN - 0001-4346

VL - 84

SP - 207

EP - 217

JO - Mathematical Notes

JF - Mathematical Notes

IS - 1-2

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On almost representations of groups with property (T)

Abstract

Keywords

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