学位论文详细信息
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.
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Files | Size | Format | View |
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Gaussian-like von Neumann algebras and noncommutative brownian motion | 317KB | download |