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

Instytut Matematyczny Polskiej Akademii Nauk / pl / Wydawnictwa / Banach Center Publications / Wszystkie tomy

Janusz Wysoczański Banach Center Publications 73 (2006), 435-438 MSC: 47C15, 60F05. DOI: 10.4064/bc73-0-35

We show that the von Neumann algebras generated by an infinite number of $t$ -deformed free gaussian operators are factors of type $I_{\infty}$ .

Janusz WysoczańskiInstitute of Mathematics
Wroc/law University
Pl. Grunwaldzki 2/4
50-384 Wroc/law, Poland
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