English

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

Operator Algebras 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0507094,
  title  = {Graph W*-Probability on the Free Group Factor L(F_N)},
  author = {Ilwoo Cho},
  journal= {arXiv preprint arXiv:math/0507094},
  year   = {2007}
}

Comments

18 pages

R2 v1 2026-07-22T17:21:41.701Z