Naturality of Rieffel’s Morita Equivalence for Proper Actions
نویسندگان
چکیده
منابع مشابه
On Morita Equivalence of Group Actions on Locally C-algebras
In this paper, we prove that two continuous inverse limit actions α and β of a locally compact group G on the locally C-algebras A and B are strongly Morita equivalent if and only if there is a locally C-algebra C such that A and B appear as two complementary full corners of C and there is a continuous action γ of G on C which leaves A and B invariant such that γ|A = α and γ|B = β. This general...
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Suppose a locally compact groupG acts freely and properly on a locally compact Hausdorff space X , and let γ be the induced action on C0(X). We consider a category in which the objects are C∗-dynamical systems (A,G, α) for which there is an equivariant homomorphism of (C0(X), γ) into the multiplier algebra M(A). Rieffel has shown that such systems are proper and saturated, and hence have a gene...
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Article history: Received 7 March 2013 Available online xxxx Communicated by Changchang Xi
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2009
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-009-9201-2