Random Variables in Graph W*-Probability Spaces

Details Random Variables in Graph W*-Probability Spaces Random Variables in Graph W*-Probability Spaces

2004-10-08

arxiv.org/abs/math/0410219v7

Mathematics

Operator Algebras

38 pages

Scientific paper

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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