Relative Inner Amenability and Relative Property Gamma

  • Paul Jolissaint

Abstract

Let $H$ be a proper subgroup of a discrete group $G$. We introduce a notion of relative inner amenability of $H$ in $G$, we prove some equivalent conditions and provide examples coming mainly from semidirect products, as well as counter-examples. We also discuss the corresponding relative property gamma for pairs of type II$_1$ factors $N\subset M$ and we deduce from this a characterization of discrete, icc groups which do not have property (T).
Published
2016-11-01
How to Cite
Jolissaint, P. (2016). Relative Inner Amenability and Relative Property Gamma. MATHEMATICA SCANDINAVICA, 119(2), 293-319. https://doi.org/10.7146/math.scand.a-24748
Section
Articles