Entropy for 𝐶*-algebras with tracial rank zero

Author:

Okayasu Rui

Abstract

Voiculescu’s topological approximation entropy is extended to automorphisms on unital simple C C^* -algebras with tracial rank zero. Several expected properties are shown. We also consider the value of our entropy for a cat map on the non-commutative torus.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference14 articles.

1. Topological entropy in exact 𝐶*-algebras;Brown, Nathanial P.;Math. Ann.,1999

2. Comparison theory for simple 𝐶*-algebras;Blackadar, Bruce,1988

3. Dynamical entropy of 𝐶* algebras and von Neumann algebras;Connes, A.;Comm. Math. Phys.,1987

4. Entropy for automorphisms of 𝐼𝐼₁ von Neumann algebras;Connes, A.;Acta Math.,1975

5. The structure of the irrational rotation 𝐶*-algebra;Elliott, George A.;Ann. of Math. (2),1993

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