Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Noncommutative topological dynamics. I
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by Daniel Avitzour
Trans. Amer. Math. Soc. 282 (1984), 109-119
DOI: https://doi.org/10.1090/S0002-9947-1984-99926-0

Part II: Trans. Amer. Math. Soc. (1) (1984), 121-135

Abstract:

Ergodicity and minimality are defined for $C^{\ast }$-flows $(G,A)$ where $G$ is a group acting on a $C^{\ast }$-algebra $A$ by *-automorphisms. Elementary properties are proved and several examples are given. In particular, an example shows that there are arbitrarily large $C^{\ast }$-algebras admitting a minimal action of the integers.
References
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Bibliographic Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 282 (1984), 109-119
  • MSC: Primary 46L55; Secondary 54H20
  • DOI: https://doi.org/10.1090/S0002-9947-1984-99926-0
  • MathSciNet review: 728705