A NOTE ON THE BIDUAL OF A ＄C^{*}＄ -CROSSED PRODUCT
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概要
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Let ＄G＄ be a locally compact group. We show that, for any ＄C^{*}＄-dynamical system ＄(A, G, ￥alpha)＄ , the bidual ＄(G￥times A￥alpha)^{￥prime￥prime}＄ of the ＄C^{*}＄-crossed product ＄G￥times A＄ is canonically isomorphic to the von Neumann algebra generated by the regular representation of ＄Gx＄＄ A￥alpha＄ if, and only if, ＄G＄ is amenable and the group ＄C^{*}＄-algebra ＄C^{*}(G)＄ is scattered.
- Yokohama City Universityの論文
- 1986-00-00
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