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

Ilwoo Cho
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Abstract

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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BibTeXRIS

Ilwoo Cho. 2005-07-05. Graph W*-Probability on the Free Group Factor L(F_N). https://arxiv.org/abs/math/0507094

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