Relative inner amenability

Paul Jolissaint

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arXiv · 1308.0942

Relative inner amenability

Paul Jolissaint

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Abstract

Let $G$ be a subgroup of a discrete (countable) group $Γ$. We introduce a notion of relative inner amenability of $G$ in $Γ$, 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 $T$.

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Paul Jolissaint. 2013-12-01. Relative inner amenability. https://arxiv.org/abs/1308.0942

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