Freeness of Linear and Quadratic Forms in von Neumann Algebras
arXiv:1012.5586 · doi:10.1016/j.jfa.2011.07.012
Abstract
We characterize semicircular distribution by the freeness of linear and quadratic forms in noncommutative random variables from a tracial -probability space with relaxed moment conditions.
15 pages; AMS-LaTeX, to appear in J Funct An