Integrable and proper actions on C*-algebras, and square-integrable representations of groups
نویسندگان
چکیده
منابع مشابه
Integrable and Proper Actions on C-algebras, and Square-integrable Representations of Groups
We propose a definition of what should be meant by a proper action of a locally compact group on a C∗-algebra. We show that when the C∗-algebra is commutative this definition exactly captures the usual notion of a proper action on a locally compact space. We then propose a definition for the generalized fixed-point algebra, and show that it gives the desired algebra when the C∗-algebra is commu...
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We analzye Rieffel’s construction of generalized fixed point algebras in the setting of group actions on Hilbert modules. Let G be a locally compact group acting on a C∗-algebra B. We construct a Hilbert module F over the reduced crossed product of G and B, using a pair (E, R), where E is an equivariant Hilbert module over B and R is a dense subspace of E with certain properties. The generalize...
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ژورنال
عنوان ژورنال: Expositiones Mathematicae
سال: 2004
ISSN: 0723-0869
DOI: 10.1016/s0723-0869(04)80002-1