Results 161 to 170 of about 24,765 (204)
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Acta Applicandae Mathematicae, 2007
Let \(G\) be a countable directed graph with vertices \(V(G)\) and edges \(E(G)\). Let \(\mathbb{G}\) denote the graph groupoid of \(G\), which can be regarded as the free groupoid generated by the edges of \(G\) whose identity elements correspond to the vertices of \(G\).
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Let \(G\) be a countable directed graph with vertices \(V(G)\) and edges \(E(G)\). Let \(\mathbb{G}\) denote the graph groupoid of \(G\), which can be regarded as the free groupoid generated by the edges of \(G\) whose identity elements correspond to the vertices of \(G\).
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Banach Algebras and Von Neumann's Inequality
Proceedings of the London Mathematical Society, 1979We propose to investigate how far Von Neumann's type inequalities extend to various classes of Banach algebras related to uniform algebras and uniform algebras. Our approach also yields estimates for the growth of norms of homogeneous polynomials in several operators on a complex Hilbert space.
MANTERO, ANNA MARIA, Andrew Tonge
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Preduals of von Neumann Algebras
Functional Analysis and Its Applications, 2003In the paper under review, the author summarizes and sketches the proofs of the results given in the papers [Russ. J. Math. Phys. 10, 117--120 (2003; Zbl 1065.46039)] and [Adv. Stud. Contemp. Math., Kyungshang 7, 1--10 (2003; Zbl 1047.46042)]. The main results of the present paper are the following (from the abstract): (1) If the Banach space of a von ...
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Von Neumann Algebras and Hilbert Quantales
Applied Categorical Structures, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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AlgebraicK-theory of von Neumann algebras
K-Theory, 1993The paper is devoted to the computation of the algebraic \(K\)-group \(K_ 1({\mathcal A})\) and a closely related group \(K_ 1^ w ({\mathcal A})\) of a von Neumann algebra \({\mathcal A}\). First the authors define the algebraic \(K\)-group \(K_ 1 ({\mathcal A})\) as usual as being generated by bijective endomorphisms of finitely generated projective \(
Lück, Wolfgang, Rørdam, Mikael
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CROSSED PRODUCTS OF VON NEUMANN ALGEBRAS
Russian Mathematical Surveys, 1971The paper is concerned with von Neumann algebras with finite trace and their -automorphisms, and with crossed products. A detailed investigation is made of the problem of constructing hyperfinite factors of type II1 by means of crossed products. Some new results are obtained on subfactors of hyperfinite factors of type II1 and also some new information
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Noncommutative Probability on von Neumann Algebras
Journal of Mathematical Physics, 1972We generalize ordinary probability theory to those von Neumann algebras A, for which Dye's generalized version of the Radon-Nikodym theorem holds. This includes the classical case in which A is an Abelian von Neumann algebra generated by an observable or complete set of commuting observables.
Gudder, S., Marchand, J.-P.
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The Haagerup Invariant for Von Neumann Algebras
American Journal of Mathematics, 1995This fascinating paper is concerned with approximation properties for operator spaces. The paper describes five approximation constants \(\Lambda(X)\), \(\Lambda_1(X)\), \(\Lambda_2(X)\), \(\Lambda_3(X)\) and \(\Lambda_4(X)\) associated with each operator space \(X\). The first coincides with the Haagerup invariant of a \(W^*\)-algebra \(M\) when \(X\)
Sinclair, Allan M., Smith, Roger R.
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C*-Algebras and von Neumann Algebras
1979C*-algebra theory is an abstraction of the structure of certain algebras of bounded operators acting on a Hilbert space and is simultaneously a special case of the theory of Banach algebras. Consequently, the theory can be developed in two different ways.
Ola Bratteli, Derek W. Robinson
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Compact Derivations on Von Neumann Algebras
Canadian Mathematical Bulletin, 1981AbstractIf is a von Neumann algebra that thas no nonzero finite discrete central projection, then there is no nontrivial compact derivation of into itself.
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