Topological Transitivity of Compact Actions on C-Algebras

We give some conditions under which minimality is equivalent to the other notions in noncommutative ergodic theory and prove that in a compact C*-dynamical system topological transitivity is invariant under exterior equivalence.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 1990-11, Vol.110 (3), p.741-744
Main Authors: Lee, Sa Ge, Jang, Sun Young
Format: Article
Language:English
Subjects:
Algebraic topology
Ergodic theory
Exact sciences and technology
Function theory, analysis
Mathematical methods in physics
Mathematical transitivity
Physics
Topological compactness
Topology
Von Neumann algebra
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Description
Summary:We give some conditions under which minimality is equivalent to the other notions in noncommutative ergodic theory and prove that in a compact C*-dynamical system topological transitivity is invariant under exterior equivalence.
ISSN:0002-9939
1088-6826
DOI:10.2307/2047916