The inner amenability of the generalized Thompson group
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- by Gabriel Picioroaga PDF
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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 P. Jolissaint. 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 E. G. Effros, $F(N)$ follows inner amenable.References
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Additional Information
- Gabriel Picioroaga
- Affiliation: Department of Mathematics, The University of Iowa, 14 MacLean Hall, Iowa City, Iowa 52242-1419
- Address at time of publication: Department of Mathematics and Computer Science, University of Southern Denmark, Campusvej 55, DK-5230, Odense M, Denmark
- Email: gpicioro@math.uiowa.edu, gpicioro@imada.sdu.dk
- Received by editor(s): February 8, 2005
- Published electronically: December 19, 2005
- Communicated by: David R. Larson
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 1995-2002
- MSC (2000): Primary 46K10, 22D15
- DOI: https://doi.org/10.1090/S0002-9939-05-08236-5
- MathSciNet review: 2215768