Factoriality of Bożejko–speicher Von Neumann Algebras


We study the von Neumann algebra generated byq–deformed Gaussian elements li + l∗i where operators li fulfill the q–deformed canonical commutation relations lil∗j − ql ∗ j li = δij for −1 < q < 1. We show that if the number of generators is finite, greater than some constant depending on q, it is a II1 factor which does not have the property Γ . Our… (More)


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