Non-inner amenability of the Thompson groups T and V

Autor:	Haagerup, Uffe, Olesen, Kristian Knudsen
Rok vydání:	2016
Předmět:	Mathematics - Operator Algebras Mathematics - Group Theory
Druh dokumentu:	Working Paper
Popis:	In this paper we prove that the Thompson groups $T$ and $V$ are not inner amenable. In particular, their group von Neumann algebras do not have property $\Gamma$. Moreover, we prove that if the reduced group $C^\ast$-algebra of $T$ is simple, then the Thompson group $F$ is non-amenable. Furthermore, we give a few new equivalent characterizations of amenability of $F$. Comment: 13 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1609.05086 Zobrazit plný text záznamu View this record from Arxiv