ENTROPY FOR C -ALGEBRAS WITH TRACIAL RANK ZERO

ENTROPY FOR C -ALGEBRAS WITH TRACIAL RANK ZERO

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.

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Veröffentlicht in:Proceedings of the American Mathematical Society 2010-10, Vol.138 (10), p.3609-3621
1. Verfasser: OKAYASU, RUI
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algebraic topology
Approximation
Automorphisms
Entropy
Exact sciences and technology
Functional analysis
General mathematics
General, history and biography
Mathematical analysis
Mathematics
Mathematics education
Sciences and techniques of general use
Topological theorems
Topology
Von Neumann algebra
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Zusammenfassung: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-10-10475-4