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Title:Gaussian-like von Neumann algebras and noncommutative brownian motion
Author(s):Avsec, Stephen
Director of Research:Junge, Marius
Doctoral Committee Chair(s):Boca, Florin
Doctoral Committee Member(s):Junge, Marius; Baryshnikov, Yuliy; Athreya, Jayadev S.
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):noncommutative probability
von Neumann algebras
Abstract:The $q$-Gaussian von Neumann algebras were first defined and studied by Bo\.{z}ejko and Speicher in connection with noncommutative brownian motion. The main results of the present work is to establish that the $q$-Gaussian von Neumann algebras have the weak* completely contractive approximation property for all $-1 < q < 1$ and any number of generators, and they are strongly solid for all $-1 < q < 1$ and any finite number of generators.
Issue Date:2012-09-18
URI:http://hdl.handle.net/2142/34412
Rights Information:Copyright 2012 Stephen Avsec
Date Available in IDEALS:2012-09-18
Date Deposited:2012-08


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