Entropy for $C^*$-algebras with tracial rank zero

• Autores: Rui Okayasu
• Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 10, 2010, págs. 3609-3621
• Idioma: inglés
• DOI: 10.1090/s0002-9939-10-10475-4
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• Resumen

  • Voiculescu's topological approximation entropy is extended to automorphisms on unital simple -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.