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Topological entropy of some automorphisms of reduced amalgamated free product C^*-algebras

Published online by Cambridge University Press:  28 November 2001

KENNETH J. DYKEMA
KENNETH J. DYKEMA
Affiliation:
Department of Mathematics, Texas A&M University, College Station TX 77843-3368, USA (e-mail: Ken.Dykema@math.tamu.edu)
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Abstract

Certain classes of automorphisms of reduced amalgamated free products of C^*-algebras are shown to have Brown–Voiculescu topological entropy zero. Also, for automorphisms of exact C^*-algebras, the Connes–Narnhofer–Thirring entropy is shown to be bounded above by the Brown–Voiculescu entropy. These facts are applied to generalize Størmer's result about the entropy of automorphisms of the {\rm II}_1-factor of a free group.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 21 , Issue 6 , December 2001 , pp. 1683 - 1693
Copyright
2001 Cambridge University Press

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