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The inner amenability of the generalized Thompson group
Author(s):
Gabriel
Picioroaga
Journal:
Proc. Amer. Math. Soc.
134
(2006),
1995-2002.
MSC (2000):
Primary 46K10, 22D15
Posted:
December 19, 2005
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Abstract:
In this paper we prove that the general version  of the Thompson group is inner amenable. As a consequence we generalize a result of P. Jolissaint. To do so, we prove first that  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  for the group von Neumann algebras involved. By a result of E. G. Effros,  follows inner amenable.
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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
DOI:
10.1090/S0002-9939-05-08236-5
PII:
S 0002-9939(05)08236-5
Received by editor(s):
February 8, 2005
Posted:
December 19, 2005
Communicated by:
David R. Larson
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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