Gaussian-like von Neumann algebras and noncommutative brownian motion

noncommutative probability;von Neumann algebras

Avsec, Stephen

关键词: noncommutative probability;    von Neumann algebras;   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/34412/avsec_stephen.pdf?sequence=1&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

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.