PURE STATE APPROACH TO $C(X)×_\alpha Z_n$

Citation:

Li Bingren,Lin Qing.PURE STATE APPROACH TO $C(X)×_\alpha Z_n$[J].Chinese Annals of Mathematics B,1995,16(1):75~86
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Authors:

Li Bingren; Lin Qing
Abstract: Consider a C*-system (C(X), Z_n, $\alpha$), where $\alpha$ is a homeomorphism of X such that $\alpha ^n = id$. The authors characterize the pure state space of $C(X) \times _\alpha Z_n$, the transition probability and orientation on it. Two special cases (free action and n = 2) are studied in detail.

Keywords:

C*-crossed product, Pure state space, Transition probability, Orientation.

Classification:

46L.
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