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Showing 1 to 6 of 6 for “"finite von Neumann algebras"”.
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On decompositions and Connes's embedding problem of finite von Neumann algebras
… open question of Connes asks whether every finite von Neumann algebra embeds into an ultraproduct of finite-dimensional matrix algebras. As of yet, algebras verified to satisfy Connes's embedding property belong to just a few special classes (e.g. amenable algebras and free group factors). …
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Isometries on symmetric spaces associated with semi-finite von Neumann algebras
… symmetric spaces associated with semi-finite von Neumann algebras. This is achieved by extending certain results from the finite setting to the semi-finite setting, exploring the applicability of disjointness-preserving techniques in generalizations of Lₚ-spaces, and developing …
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Von Neumann algebras, affiliated operators and representations of the Heisenberg relation
<p>Von Neumann algebras are self-adjoint, strong-operator closed subalgebras (containing the identity operator) of the algebra of all bounded operators on a Hilbert space. Factors are von Neumann algebras whose centers consist of scalar multiples of the identity operator. In this thesis, we study …
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Free entropy dimensions and approximate liftings
… and J. Shen, we introduce a new invariant on finite von Neumann algebras that do not necessarily act on separable Hilbert space. We show that this invariant is independent of the generating set, and we obtain a number of results for von Neumann algebras that are not finitely …
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Martingale Convergence Techniques in Noncommutative Integration
… idea that the space of operators affiliated to a von Neumann algebra could be interpreted through the lens of integration theory stretches back to the original works of Murray and von Neumann on "rings of operators", the theory they developed to provide a mathematical framework for quantum …
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Poincar�� inequalities in noncommutative Lp spaces
Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2014-07-11T17:41:22Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Zeng_Qiang.pdf: 1079162 bytes, checksum: 9bc39920faa20922d493e9a86e6e6403 (MD5)