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Compressed Random Variables in a Graph W*-Probability Space

Research paper by Ilwoo Cho

Indexed on: 05 Apr '05Published on: 05 Apr '05Published in: Mathematics - Operator Algebras



Abstract

In this paper, we will consider the free probabilistic information about compressed random variables in a graph W*-Probability space. Recall the diagonal compressed random variables in a graph W*-probability space. In particular, we can see that the free moments and cumulants of the fixed compressed random variable of a random variable x are exactly same as the diagonal compressed part of x.