English

On Almost Representations of Property (T) Groups

Operator Algebras 2007-08-12 v2 Group Theory

Abstract

Property (T) for groups means a dichotomy: a representation either has an invariant vector or all vectors are far from being invariant. We show that, under a stronger condition of A.Zuk, a similar dichotomy holds for almost representations as well.

Keywords

Cite

@article{arxiv.0708.1290,
  title  = {On Almost Representations of Property (T) Groups},
  author = {Vladimir Manuilov and Chao You},
  journal= {arXiv preprint arXiv:0708.1290},
  year   = {2007}
}

Comments

10 pages, minor changes, references added

R2 v1 2026-06-21T09:06:11.698Z