A remark about the Connes fusion tensor product.
Thom, Andreas (2011)
Theory and Applications of Categories [electronic only]
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Thom, Andreas (2011)
Theory and Applications of Categories [electronic only]
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Maria Joiţa, Mohammad Sal Moslehian (2012)
Studia Mathematica
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We introduce a notion of Morita equivalence for Hilbert C*-modules in terms of the Morita equivalence of the algebras of compact operators on Hilbert C*-modules. We investigate the properties of the new Morita equivalence. We apply our results to study continuous actions of locally compact groups on full Hilbert C*-modules. We also present an extension of Green's theorem in the context of Hilbert C*-modules.
Kunyu Guo (1999)
Studia Mathematica
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The normal cohomology functor 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 -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...
Manuilov, V.M. (1996)
Acta Mathematica Universitatis Comenianae. New Series
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Clezio A. Braga, Flávio U. Coelho (2009)
Colloquium Mathematicae
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We study the problem of when a direct limit of tilting modules is still a tilting module.
Carlson, Jon F., Clark, Douglas N., Foias, Ciprian, Williams, J.P. (1994)
The New York Journal of Mathematics [electronic only]
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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.
Maria Joiţa (2004)
Czechoslovak Mathematical Journal
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In this paper the tensor products of Hilbert modules over locally -algebras are defined and their properties are studied. Thus we show that most of the basic properties of the tensor products of Hilbert -modules are also valid in the context of Hilbert modules over locally -algebras.
Dijana Ilišević, Chih-Neng Liu, Ngai-Ching Wong (2017)
Concrete Operators
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Being expected as a Banach space substitute of the orthogonal projections on Hilbert spaces, generalized n-circular projections also extend the notion of generalized bicontractive projections on JB*-triples. In this paper, we study some geometric properties of JB*-triples related to them. In particular, we provide some structure theorems of generalized n-circular projections on an often mentioned special case of JB*-triples, i.e., Hilbert C*-modules over abelian C*-algebras C0(Ω). ...
Claus Ringel (1998)
Colloquium Mathematicae
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Moslehian, Mohammad Sal (2001)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Gabriella D'Este, Dieter Happel (1990)
Rendiconti del Seminario Matematico della Università di Padova
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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.