Unitary representations induces from compact subgroups

Marc Rieffel

Displaying similar documents to “Unitary representations induces from compact subgroups”

Covariant version of the Stinespring type theorem for Hilbert C*-modules

Maria Joiţa (2011)

Open Mathematics

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In this paper, we prove a covariant version of the Stinespring theorem for Hilbert C*-modules. Also, we show that there is a bijective correspondence between operator valued completely positive maps, (u′, u)-covariant with respect to the dynamical system (G, η, X) on Hilbert C*-modules and (u′, u)-covariant operator valued completely positive maps on the crossed product G ×η X of X by η.

On full Hilbert $C *$ -modules.

Moslehian, Mohammad Sal (2001)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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Projective Hilbert A(D)-modules.

Carlson, Jon F., Clark, Douglas N., Foias, Ciprian, Williams, J.P. (1994)

The New York Journal of Mathematics [electronic only]

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Adjointability of operators on Hilbert $C^{*}$ -modules.

Manuilov, V.M. (1996)

Acta Mathematica Universitatis Comenianae. New Series

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Non-archimedean representations of compact groups

W. H. Schikhof (1971)

Compositio Mathematica

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Tensor products of Hilbert modules over locally $C^{*}$ -algebras

Maria Joiţa (2004)

Czechoslovak Mathematical Journal

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In this paper the tensor products of Hilbert modules over locally $C^{*}$ -algebras are defined and their properties are studied. Thus we show that most of the basic properties of the tensor products of Hilbert $C^{*}$ -modules are also valid in the context of Hilbert modules over locally $C^{*}$ -algebras.

Normal Hilbert modules over the ball algebra A(B)

Kunyu Guo (1999)

Studia Mathematica

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The normal cohomology functor $E x t_{ℵ}$ is introduced from the category of all normal Hilbert modules over the ball algebra to the category of A(B)-modules. From the calculation of $E x t_{ℵ}$ -groups, we show that every normal C(∂B)-extension of a normal Hilbert module (viewed as a Hilbert module over A(B) is normal projective and normal injective. It follows that there is a natural isomorphism between Hom of normal Shilov modules and that of their quotient modules, which is a new lifting theorem of normal...

A remark about the Connes fusion tensor product.

Thom, Andreas (2011)

Theory and Applications of Categories [electronic only]

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On multipliers of Hilbert modules over pro-C*-algebras

Maria Joiţa (2008)

Studia Mathematica

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We investigate the structure of the multiplier module of a Hilbert module over a pro-C*-algebra and the relationship between the set of all adjointable operators from a Hilbert A-module E to a Hilbert A-module F and the set of all adjointable operators from the multiplier module M(E) to M(F).

Orthogonal decompositions in Hilbert $C^{*}$ -modules and stationary processes.

Popovici, D. (1998)

Acta Mathematica Universitatis Comenianae. New Series

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Projectivity and lifting of Hilbert module maps

Douglas N. Clark (1997)

Annales Polonici Mathematici

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In a recent paper, Carlson, Foiaş, Williams and the author proved that isometric Hilbert modules are projective in the category of Hilbert modules similar to contractive ones. In this paper, a simple proof, based on a strengthened lifting theorem, is given. The proof also applies to an equivalent theorem of Foiaş and Williams on similarity to a contraction of a certain 2 × 2 operator matrix.