Search Results - "C*-algebra"

C*-algebras over arens algebras by Bekbaev, Dilmurad, Ganiev, Inomjon

“…It is shown that such slgebras are C*-algebras over Arens algebras and these C*-algebras are complete locally convex metrizable algebras.…”
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Constructions of spectral triples on C*-algebras by Hawkins, Andrew

“…Dynamical systems arising from non-unital C*-algebras and certain semidirect products of groups are considered. …”
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Measurable bundles of *-homomorphisms C*-algebras by Ganiev, Inomjon, Kudaybergenov, Karimbergen

“…In the present paper we study ¤-homomorphisms on C¤-algebras over a ring of measurable functions L0: In particular, we give representation ¤-homomorphisms on C¤-algebras over L0 as measurable bundles of ¤-homomorphisms on complex C¤-algebras.…”
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Measurable bundles of C*-algebras over ideals by Ganiev, Inomjon, Mukhamedov, Farrukh

“…Let (­;§; ¸) be a measurable space with a finite complete measure ¸ and L0 = L0(­) be an algebra of equivalence classes of complex measurable functions on ­: In the present paper we define C¤-algebras over ideals of L0: It is proved that any C¤-algebra over ideal can be represented as measurable bundle of C¤-algebras.…”
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On tensorial absorption of the Jiang-Su algebra by Johanesova, Miroslava

Subjects: “…C*-algebras…”
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A note on noncommutative unique ergodicity and weighted means by Accardi, Luigi, Mukhamedov, Farrukh

“…In this paper we study unique ergodicity of C∗-dynamical system (A, T), consisting of a unital C∗-algebra A and a Markov operator T : A �→ A, relative to its fixed point subspace, in terms of Riesz summation which is weaker than Cesaro one. …”
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A game theoretic approach to quantum information by Dai, Xianhua

“…In specific, after briefly introducing probability inequalities, C*-algebra, including von Neumann algebra, and quantum probability, we will overview quantum entanglement, quantum relative entropy, quantum mutual information, and entangled quantum channel capacity in the direction of R. …”
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Measurable bundles of C*-dynamical systems by Ganiev, Inomjon, Mukhamedov, Farrukh

“…In the present paper we investigate L -valued states and Markov operators on C* -algebras over L . In particular, we give representations for L -valued state and Markov operators on C*- algebras over L , respectively, as measurable bundles of states and Markov operators. …”
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Spectral synthesis for Banach Algebras II by Feinstein, Joel, Somerset, D.W.B.

“…This paper continues the study of spectral synthesis and the topologies tau-infinity and tau-r on the ideal space of a Banach algebra, concentrating particularly on the class of Haagerup tensor products of C*-algebras. For this class, it is shown that spectral synthesis is equivalent to the Hausdorffness of tau_infinity. …”
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Non-existence of natural states for Abelian Chern–Simons theory by Dappiaggi, Claudio, Murro, Simone, Schenkel, Alexander

“…We give an elementary proof that Abelian Chern-Simons theory, described as a functor from oriented surfaces to C*-algebras, does not admit a natural state. Non-existence of natural states is thus not only a phenomenon of quantum field theories on Lorentzian manifolds, but also of topological quantum field theories formulated in the algebraic approach.…”
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Quantum Markov fields on graphs by Accardi, Luigi, Ohno, Hiromichi, Mukhamedov, Farrukh

“…We introduce generalized quantum Markov states and generalized d-Markov chains which extend the notion quantum Markov chains on spin systems to that on C∗-algebras defined by general graphs. As examples of generalized d Markov chains, we construct the entangled Markov fields on tree graphs. …”
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Abelian duality on globally hyperbolic spacetimes by Becker, Christian, Benini, Marco, Schenkel, Alexander, Szabo, Richard J.

“…We construct semi-classical configuration spaces and corresponding presymplectic Abelian groups of observables, which are quantized by the CCR-functor to the category of C*-algebras. We demonstrate explicitly how duality is implemented as a natural isomorphism between quantum field theories. …”
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Differential cohomology and locally covariant quantum field theory by Becker, Christian, Schenkel, Alexander, Szabo, Richard J.

“…The resulting presymplectic Abelian groups are quantized using the CCR-functor, which yields a covariant functor from our categories of globally hyperbolic Lorentzian manifolds to the category of C*-algebras. We prove that this functor satisfies the causality and time-slice axioms of locally covariant quantum field theory, but that it violates the locality axiom. …”
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