Results 1 to 10 of about 26,596 (173)
Free W*-Dynamical Systems From p-Adic Number Fields and the Euler Totient Function
Mathematics, 2015 In this paper, we study relations between free probability on crossed product W * -algebras with a von Neumann algebra over p-adic number fields
Ilwoo Cho, Palle E. T. Jorgensen
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Kadison-Kastler stable factors [PDF]
, 2014 A conjecture of Kadison and Kastler from 1972 asks whether sufficiently close operator algebras in a natural uniform sense must be small unitary perturbations of one another. For n≥3 and a free, ergodic, probability measure-preserving action of SL<sub&
Cameron, Jan +5 more
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Connes' embedding problem and Tsirelson's problem [PDF]
, 2010 We show that Tsirelson's problem concerning the set of quantum correlations and Connes' embedding problem on finite approximations in von Neumann algebras (known to be equivalent to Kirchberg's QWEP conjecture) are essentially equivalent.
Bożejko M. +16 more
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The splitting process in free probability theory [PDF]
, 2015 Free cumulants were introduced by Speicher as a proper analog of classical cumulants in Voiculescu's theory of free probability. The relation between free moments and free cumulants is usually described in terms of Moebius calculus over the lattice of ...
Ebrahimi-Fard, Kurusch, Patras, Frederic
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Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure [PDF]
, 2017 Motivated by hints of the effective emergent nature of spacetime structure, we formulate a spacetime-free algebraic framework for quantum theory, in which no a priori background geometric structure is required.
Raasakka, Matti
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Free products of operator spaces and free Markov processes [PDF]
, 2004 Certain (reduced) free product is introduced in the framework of operator spaces. Under the construction, the free product of preduals of von Neumann algebras agrees with the predual of the free product of von Neumann algebras.
Gao, Mingchu
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, 2019 Practically and intrinsically, inclusions of operator algebras are of fundamental interest. The subject of this paper is intermediate operator algebras of inclusions.
Suzuki, Yuhei
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On the first continuous $L^2$-cohomology of free group factors
, 2014 We prove that the first continuous $L^2$-cohomology of free group factors vanishes. This answers a question by Andreas Thom regarding continuity properties of free difference quotients and shows that one can not distinguish free group factors by means of
Alekseev, Vadim
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Continuous Family of Invariant Subspaces for R-diagonal Operators
, 2001 We show that every R-diagonal operator x has a continuous family of invariant subspaces relative to the von Neumann algebra generated by x. This allows us to find the Brown measure of x and to find a new conceptual proof that Voiculescu's S-transform is ...
Sniady, Piotr, Speicher, Roland
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Invariant Coupling of Determinantal Measures on Sofic Groups
, 2014 To any positive contraction $Q$ on $\ell^2(W)$, there is associated a determinantal probability measure ${\mathbf P}^Q$ on $2^W$, where $W$ is a denumerable set. Let $\Gamma$ be a countable sofic finitely generated group and $G = (\Gamma, \mathsf{E})$ be
Lyons, Russell, Thom, Andreas
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