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Random Variables in Graph W*-Probability Spaces

Ilwoo Cho
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Abstract

In [16], we observed the graph W*-probability theory. In this paper, we will review [16] and introduce special amalgamated random variables in this amalgamated W*-probability space. In particular, we will observe the amalgamated semicircularity, amalgamated evenness and amalgamated R-diagonality. As an example, we will compute the trivial moments and trivial cumulants of the generating operator of the graph W*-algebra.

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Ilwoo Cho. 2005-03-05. Random Variables in Graph W*-Probability Spaces. https://arxiv.org/abs/math/0410219

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