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Mathematics > Operator Algebras

arXiv:math/0404552 (math)
[Submitted on 30 Apr 2004 (v1), last revised 6 Mar 2005 (this version, v3)]

Title:The Inner Amenability of the Generalized Thompson Group

Authors:Gabriel Picioroaga
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Abstract: In this paper we prove that the general version, F(N) of the Thompson group is inner amenable. As a consequence we generalize a result of this http URL. To do so, we prove first that F(N) together with a normal subgroup are i.c.c (infinite conjugacy classes) groups. Then, we investigate the relative McDuff property out of which we extract property $\Gamma$ for the group von Neumann algebras involved. By a result of this http URL, F(N) follows inner amenable.
Comments: A "Background" section has been added; to appear in Proceedings of the AMS
Subjects: Operator Algebras (math.OA); Group Theory (math.GR)
MSC classes: 22D15
Cite as: arXiv:math/0404552 [math.OA]
  (or arXiv:math/0404552v3 [math.OA] for this version)
  https://doi.org/10.48550/arXiv.math/0404552

Submission history

From: Gabriel Picioroaga [view email]
[v1] Fri, 30 Apr 2004 17:27:52 UTC (6 KB)
[v2] Mon, 20 Sep 2004 21:05:58 UTC (6 KB)
[v3] Sun, 6 Mar 2005 20:35:06 UTC (9 KB)
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