2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72811In [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.38 pagesOperator AlgebrasFunctional Analysis47xxtext