English

Relative inner amenability

Group Theory 2013-12-03 v5 Operator Algebras

Abstract

Let GG be a subgroup of a discrete (countable) group Γ\Gamma. We introduce a notion of relative inner amenability of GG in Γ\Gamma, we prove some equivalent conditions and provide examples as well as counter-examples. We also discuss briefly the corresponding relative property gamma for pairs of finite factors and we deduce from this a characterization of discrete, icc groups which do not have Kazhdan's property TT.

Keywords

Cite

@article{arxiv.1308.0942,
  title  = {Relative inner amenability},
  author = {Paul Jolissaint},
  journal= {arXiv preprint arXiv:1308.0942},
  year   = {2013}
}

Comments

This article is withdrawn because it will appear under a modified form and another title

R2 v1 2026-06-22T01:03:57.433Z