On Voiculescu’s Semicircular Matrices
نویسنده
چکیده
Assume M is a type II1 von Neumann algebra, the algebra of n × n matrices over another von Neumann algebra N , with the tracial state τM. In this article, we discuss the properties of semicircular elements that are free with, with respect to τM, the algebra Dn consisting of scalar diagonal matrices in M. Then we define a concept “matricial distance” of two elements in M and compute it when the two elements are free semicircular elements.
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