Topological transitivity of compact actions on 𝐶*-algebras

Lee, Sa Ge; Jang, Sun Young

doi:10.1090/S0002-9939-1990-1027098-8

Topological transitivity of compact actions on $\textbf {C}^ *$-algebras
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by Sa Ge Lee and Sun Young Jang

Proc. Amer. Math. Soc. 110 (1990), 741-744

DOI: https://doi.org/10.1090/S0002-9939-1990-1027098-8

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Abstract:

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

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