Gaussian-like von Neumann algebras and noncommutative brownian motion

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2012

Author dc:creator

• Avsec, Stephen

Contributors dc:contributor

• Junge, Marius
• Boca, Florin
• Baryshnikov, Yuliy
• Athreya, Jayadev S.

• noncommutative probability
• von Neumann algebras

Statement dc:rights

• Copyright 2012 Stephen Avsec

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/34412

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/34412