Morita–Rieffel Equivalence and Spectral Theory for Integrable Automorphism Groups of C*-Algebras
Morita–Rieffel Equivalence and Spectral Theory for Integrable Automorphism Groups of C*-Algebras
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C*-代数可积自同构群的 Morita–Rieffel 等价和谱理论
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发表时间：
1999
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通讯作者：
R. Exel
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文献类型：
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作者：
R. Exel
Abstract Given a C *-dynamical system ( A , G , α ), we discuss conditions under which subalgebras of the multiplier algebra M ( A ) consisting of fixed points for α are Morita–Rieffel equivalent to ideals in the crossed product of A by G . In case G is abelian we also develop a spectral theory, giving a necessary and sufficient condition for α to be equivalent to the dual action on the cross-sectional C *-algebra of a Fell bundle. In our main application we show that a proper action of an abelian group on a locally compact space is equivalent to a dual action.
