The von Neumann algebra associated with an infinite number of t-free noncommutative gaussian random variables

Janusz Wysoczański

Banach Center Publications (2006)

  • Volume: 73, Issue: 1, page 435-438
  • ISSN: 0137-6934

Abstract

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We show that the von Neumann algebras generated by an infinite number of t-deformed free gaussian operators are factors of type I .

How to cite

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Janusz Wysoczański. "The von Neumann algebra associated with an infinite number of t-free noncommutative gaussian random variables." Banach Center Publications 73.1 (2006): 435-438. <http://eudml.org/doc/282139>.

@article{JanuszWysoczański2006,
abstract = {We show that the von Neumann algebras generated by an infinite number of t-deformed free gaussian operators are factors of type $I_\{∞\}$.},
author = {Janusz Wysoczański},
journal = {Banach Center Publications},
keywords = {-deformation; free convolution; von Neumann factors},
language = {eng},
number = {1},
pages = {435-438},
title = {The von Neumann algebra associated with an infinite number of t-free noncommutative gaussian random variables},
url = {http://eudml.org/doc/282139},
volume = {73},
year = {2006},
}

TY - JOUR
AU - Janusz Wysoczański
TI - The von Neumann algebra associated with an infinite number of t-free noncommutative gaussian random variables
JO - Banach Center Publications
PY - 2006
VL - 73
IS - 1
SP - 435
EP - 438
AB - We show that the von Neumann algebras generated by an infinite number of t-deformed free gaussian operators are factors of type $I_{∞}$.
LA - eng
KW - -deformation; free convolution; von Neumann factors
UR - http://eudml.org/doc/282139
ER -

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