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GENERALIZED FIXED POINT ALGEBRAS AND SQUAREINTEGRABLE GROUP ACTIONS
, 2000
"... Abstract. 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 ..."
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Cited by 8 (1 self)
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Abstract. 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
Generalized fixedpoint algebras of certain actions on crossed products
 Pacific J. Math
, 1995
"... Abstract: Let G and H be two locally compact groups acting on a C*algebra A by commuting actions λ and σ. We construct an action on A ×λ G out of σ and a unitary 2cocycle u. For A commutative, and free and proper actions λ and σ, we show that if the roles of λ and σ are reversed, and u is replaced ..."
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Cited by 13 (3 self)
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is replaced by u ∗, then the corresponding generalized fixedpoint algebras, in the sense of Rieffel, are strongMorita equivalent. We apply this result to the computation of the Ktheory of quantum Heisenberg manifolds. Introduction. Given two commuting actions λ and σ of locally compact groups G and H
Universal and exotic generalizes fixedpoint algebras for weakly proper actions and duality
 arXiv:1304.5697v2, 2013. 52 PAUL BAUM, ERIK GUENTNER, AND RUFUS WILLETT
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Fell bundles and imprimitivity theorems: towards a universal generalized fixed point algebra (2012), preprint. arXiv
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Proper actions, fixedpoint algebras and naturality in nonabelian duality
 J. Funct. Anal
"... Abstract. Suppose a locally compact group G 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 ..."
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Cited by 15 (8 self)
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) into the multiplier algebra M(A). Rieffel has shown that such systems are proper and saturated, and hence have a generalized fixedpoint algebra A α which is Morita equivalent to A×α,r G. We show that the assignment (A, α) ↦ → A α is functorial, and that Rieffel’s Morita equivalence is natural in a suitable sense. We
Proper Actions of Groupoids on C∗Algebras
 JOURNAL OF OPERATOR THEORY
, 2009
"... In 1990, Rieffel defined a notion of proper action of a group H on a C∗algebra A. He then defined a generalized fixed point algebra A α for this action and showed that A α is Morita equivalent to an ideal of the reduced crossed product. We generalize Rieffel’s notion to define proper groupoid dynam ..."
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Cited by 4 (1 self)
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In 1990, Rieffel defined a notion of proper action of a group H on a C∗algebra A. He then defined a generalized fixed point algebra A α for this action and showed that A α is Morita equivalent to an ideal of the reduced crossed product. We generalize Rieffel’s notion to define proper groupoid
Parallel Numerical Linear Algebra
, 1993
"... We survey general techniques and open problems in numerical linear algebra on parallel architectures. We first discuss basic principles of parallel processing, describing the costs of basic operations on parallel machines, including general principles for constructing efficient algorithms. We illust ..."
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Cited by 773 (23 self)
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We survey general techniques and open problems in numerical linear algebra on parallel architectures. We first discuss basic principles of parallel processing, describing the costs of basic operations on parallel machines, including general principles for constructing efficient algorithms. We
Algebraic laws for nondeterminism and concurrency
 Journal of the ACM
, 1985
"... Abstract. Since a nondeterministic and concurrent program may, in general, communicate repeatedly with its environment, its meaning cannot be presented naturally as an input/output function (as is often done in the denotational approach to semantics). In this paper, an alternative is put forth. Firs ..."
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Cited by 608 (13 self)
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Abstract. Since a nondeterministic and concurrent program may, in general, communicate repeatedly with its environment, its meaning cannot be presented naturally as an input/output function (as is often done in the denotational approach to semantics). In this paper, an alternative is put forth
Ktheory for operator algebras
 Mathematical Sciences Research Institute Publications
, 1998
"... p. XII line5: since p. 12: I blew this simple formula: should be α = −〈ξ, η〉/〈η, η〉. p. 2 I.1.1.4: The RieszFischer Theorem is often stated this way today, but neither Riesz nor Fischer (who worked independently) phrased it in terms of completeness of the orthogonal system {e int}. If [a, b] is a ..."
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Cited by 558 (0 self)
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space is not σfinite. p. 13: add after I.2.6.16: I.2.6.17. If X is a compact subset of C not containing 0, and k ∈ N, there is in general no bound on the norm of T −1 as T ranges over all operators with ‖T ‖ ≤ k and σ(T) ⊆ X. For example, let Sn ∈ L(l 2) be the truncated shift: Sn(α1, α2,...) = (0
Results 1  10
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28,355