The quasi-orbit space of continuous $C^{\ast }$-dynamical systems
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- by Hiroshi Takai
- Trans. Amer. Math. Soc. 216 (1976), 105-113
- DOI: https://doi.org/10.1090/S0002-9947-1976-0385583-3
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Abstract:
Let $(A,G,\alpha )$ be a separable continuous ${C^\ast }$-dynamical system. Suppose G is amenable and $\alpha$ is free on the dual Ă of A. Then the quasi-orbit space ${({\text {Prim}}\;A/\alpha )^ \sim }$ of the primitive ideal space Prim A of A by $\alpha$ is homeomorphic to the induced primitive ideal space which is dense in the primitive ideal space Prim ${C^\ast }(A;\alpha )$ of the ${C^\ast }$-crossed product ${C^\ast }(A;\alpha )$ of A by $\alpha$.References
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Bibliographic Information
- © Copyright 1976 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 216 (1976), 105-113
- MSC: Primary 46L05
- DOI: https://doi.org/10.1090/S0002-9947-1976-0385583-3
- MathSciNet review: 0385583