Graph W*-Probability on the Free Group Factor L(F_N)

Details Graph W*-Probability on the Free Group Factor L(F_N) Graph W*-Probability on the Free Group Factor L(F_N)

2005-07-05

arxiv.org/abs/math/0507094v1

Mathematics

Operator Algebras

18 pages

Scientific paper

In this paper, we will use the graph W*-probability technique to re-compute
the moments and cumulants of the operator which is the N-free sum of
semicircular elements. This computation is well-known, but I used the graph
probability technique to resolve them. By considering this idea, we will
consider the embedding of the free group factor L(F_N) into a graph W*-algebra.

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