＄C^{*}＄-CROSSED PRODUCTS BY R
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概要
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We study crossed products of ＄C^{*}＄-dynamical systems ＄(A, R, ￥alpha)＄ when ＄￥alpha＄ is asymptotically abelian. In particular we show that the crossed product is simple if and only if the system has neither ground states nor ceiling states, provided that ＄A＄ is ＄￥alpha＄-simple and unital and ＄￥alpha＄ is faithful. In the appendix we study the case where ＄￥alpha＄ is uniformly continuous, and remark that it gives us proof of some of the well-known results on inner implementability of derivations.
- Yokohama City Universityの論文
- 1982-00-00
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