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Modular geodesics and wedge domains in non-compactly causal symmetric spaces. [PDF]
Ann Glob Anal Geom (Dordr)Morinelli V, Neeb KH, Ólafsson G.
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2022
Abstract Continuing on from Chapter 11, Chapter 12 furthers the discussion of C*-algebras. This chapter is devoted to a particular class of C*-algebras called von Neumann algebras. The chapter presents the two great foundations of von Neumann algebra theory, which are the double commutant theorem of von Neumann and the density theorem of
Shmuel Kantorovitz, Ami Viselter
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Abstract Continuing on from Chapter 11, Chapter 12 furthers the discussion of C*-algebras. This chapter is devoted to a particular class of C*-algebras called von Neumann algebras. The chapter presents the two great foundations of von Neumann algebra theory, which are the double commutant theorem of von Neumann and the density theorem of
Shmuel Kantorovitz, Ami Viselter
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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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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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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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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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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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1998
Abstract The aim of this chapter is to present the basic theory of von Neumann algebras with minimal preparation. The general theory of von Neumann algebras often requires several hundred pages in standard textbooks, and this has been an obstacle for non-operator algebraists to grasp the theory for applications in other fields such as
David E Evans, Yasuyuki Kawahigashi
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Abstract The aim of this chapter is to present the basic theory of von Neumann algebras with minimal preparation. The general theory of von Neumann algebras often requires several hundred pages in standard textbooks, and this has been an obstacle for non-operator algebraists to grasp the theory for applications in other fields such as
David E Evans, Yasuyuki Kawahigashi
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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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