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Perturbation theoretic entropy of the boundary actions of free groups

Author(s): Rui Okayasu
Journal: Proc. Amer. Math. Soc. 134 (2006), 1771-1776.
MSC (2000): Primary 46L55; Secondary 28D20, 47B37
Posted: December 15, 2005
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Abstract: We compute the exact value of Voiculescu's perturbation theoretic entropy of the boundary actions of free groups. This result is a partial answer of Voiculescu's question.

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Additional Information:

Rui Okayasu
Affiliation: Department of Mathematics Education, Osaka Kyoiku University, Kashiwara, Osaka 582-8582, Japan
Email: rui@cc.osaka-kyoiku.ac.jp

DOI: 10.1090/S0002-9939-05-08190-6
PII: S 0002-9939(05)08190-6
Keywords: Perturbation, entropy, Poisson boundary, free group
Received by editor(s): October 25, 2004
Received by editor(s) in revised form: January 25, 2005
Posted: December 15, 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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