Freeness of Linear and Quadratic Forms in von Neumann Algebras

Details Freeness of Linear and Quadratic Forms in von Neumann Algebras Freeness of Linear and Quadratic Forms in von Neumann Algebras

2010-12-27

arxiv.org/abs/1012.5586v2

Mathematics

Operator Algebras

15 pages; AMS-LaTeX, to appear in J Funct An

Scientific paper

We characterize semicircular distribution by the freeness of linear and
quadratic forms in noncommutative random variables from a tracial
$W^*$-probability space with relaxed moment conditions.

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