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Displaying 1 – 20 of 1491

A Banach principle for semifinite von Neumann algebras.

Chilin, Vladimir, Litvinov, Semyon (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

A $C^{*}$ -algebra on Schur algebras.

Chaisuriya, Pachara (2011)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

A $C^{*}$ -algebraic Schoenberg theorem

Ola Bratteli, Palle E. T. Jorgensen, Akitaka Kishimoto, Donald W. Robinson (1984)

Annales de l'institut Fourier

Let $𝔄$ be a $C^{*}$ -algebra, $G$ a compact abelian group, $τ$ an action of $G$ by $*$ -automorphisms of $𝔄, 𝔄^{τ}$ the fixed point algebra of $τ$ and $𝔄_{F}$ the dense sub-algebra of $G$ -finite elements in $𝔄$ . Further let $H$ be a linear operator from $𝔄_{F}$ into $𝔄$ which commutes with $τ$ and vanishes on $𝔄^{τ}$ . We prove that $H$ is a complete dissipation if and only if $H$ is closable and its closure generates a $C_{0}$ -semigroup of completely positive contractions. These complete dissipations are classified in terms of certain twisted negative definite...

A $C^{*}$ -dynamical system with Dedekind zeta partition function and spontaneous symmetry breaking

Paula B. Cohen (1999)

Journal de théorie des nombres de Bordeaux

In this paper we extend to arbitrary number fields a construction of Bost-Connes of a $C^{*}$ -dynamical system with spontaneous symmetry breaking and partition function the Riemann zeta function.

A characterization of commutativity for non-associative normed algebras.

M. Benslimane, L. Mesmoudi, A. Rodríguez Palacios (2000)

Extracta Mathematicae

A characterization of completely bounded multipliers of Fourier algebras

Paul Jolissaint (1992)

Colloquium Mathematicae

A Characterization of the State Space of Quantum Mechanics

Huzihiro Araki (1980)

Recherche Coopérative sur Programme n°25

A Class of C*-Algebras and Topological Markov Chains.

Joachim Cuntz, Wolfgang Krieger (1980)

Inventiones mathematicae

A Class of C-algebras and Topological Markov Chains II: Reducible Chains and the Ext-functor for C-algebras.

J. Cuntz (1981)

Inventiones mathematicae

A class of simple tracially AF $C^{*}$ -algebras.

Livingston, N.E. (2002)

International Journal of Mathematics and Mathematical Sciences

A classification of approximately finite real C*-algebras.

T. Giordano (1988)

Journal für die reine und angewandte Mathematik

A classification of ideals in crossed products.

Dorte Olesen (1979)

Mathematica Scandinavica

A classification result for simple real approximate interval algebras.

Stacey, P.J. (2004)

The New York Journal of Mathematics [electronic only]

A classification theorem for nuclear purely infinite simple $C^{*}$ -algebras.

Phillips, N.Christopher (2000)

Documenta Mathematica

A comment on free group factors

Narutaka Ozawa (2010)

Banach Center Publications

Let M be a finite von Neumann algebra acting on the standard Hilbert space L²(M). We look at the space of those bounded operators on L²(M) that are compact as operators from M into L²(M). The case where M is the free group factor is particularly interesting.

A decomposition theorem for regular extensions of von Neumann algebras.

Erik Bédos (1991)

Mathematica Scandinavica

A direct approach to co-universal algebras associated to directed graphs.

Sims, Aidan, Webster, Samuel B.G. (2010)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

A double commutant theorem for purely large C*-subalgebras of real rank zero corona algebras

P. W. Ng (2009)

Studia Mathematica

Let 𝓐 be a unital separable simple nuclear C*-algebra such that ℳ (𝓐 ⊗ 𝓚) has real rank zero. Suppose that ℂ is a separable simple liftable and purely large unital C*-subalgebra of ℳ (𝓐 ⊗ 𝓚)/ (𝓐 ⊗ 𝓚). Then the relative double commutant of ℂ in ℳ (𝓐 ⊗ 𝓚)/(𝓐 ⊗ 𝓚) is equal to ℂ.

A Duality Between Hilbert Modules And Fields Of Hilbert Spaces.

Alonso Takahashi (1979)

Revista colombiana de matematicas

$A F$ -algebras and topology of mapping tori

Igor Nikolaev (2015)

Czechoslovak Mathematical Journal

The paper studies applications of $C^{*}$ -algebras in geometric topology. Namely, a covariant functor from the category of mapping tori to a category of $A F$ -algebras is constructed; the functor takes continuous maps between such manifolds to stable homomorphisms between the corresponding $A F$ -algebras. We use this functor to develop an obstruction theory for the torus bundles of dimension $2$ , $3$ and $4$ . In conclusion, we consider two numerical examples illustrating our main results.

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