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arXiv · 1012.5586

Freeness of Linear and Quadratic Forms in von Neumann Algebras

G. P. Chistyakov·F. Götze·F. Lehner
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Abstract

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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G. P. Chistyakov, F. Götze, F. Lehner. 2011-06-17. Freeness of Linear and Quadratic Forms in von Neumann Algebras. https://doi.org/10.1016/j.jfa.2011.07.012

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