Entropy for $C^*$-algebras with tracial rank zero
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- by Rui Okayasu PDF
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Abstract:
Voiculescu’s topological approximation entropy is extended to automorphisms on unital simple $C^*$-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.References
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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
- Received by editor(s): March 4, 2009
- Received by editor(s) in revised form: December 1, 2009, and January 8, 2010
- Published electronically: May 7, 2010
- Additional Notes: The author was supported in part by the Japan Society for the Promotion of Science
- Communicated by: Marius Junge
- © Copyright 2010 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 138 (2010), 3609-3621
- MSC (2010): Primary 46L55; Secondary 28D20, 46L40
- DOI: https://doi.org/10.1090/S0002-9939-10-10475-4
- MathSciNet review: 2661560