Free Product Structure of a Graph W*-probability space
Operator Algebras
2007-05-23 v1
Abstract
In this paper, we observe the amalgamated free product structure of a Graph W*-probability space. In [16] and [17], we already observed the operator-valued freeness conditions on a graph W*-algebra. By using the conditions, we will consider the amalgamated free product structure of a graph W*-algebra. In particular, we can make the algebra be blocked, by so-called the loop free blocks (D_G-semicircular blocks) and non-loop blocks (R-diagonal blocks). Finally, we can see the the graph W*-algebra is the free product of edge blocks of the algebra.
Keywords
Cite
@article{arxiv.math/0507095,
title = {Free Product Structure of a Graph W*-probability space},
author = {Ilwoo Cho},
journal= {arXiv preprint arXiv:math/0507095},
year = {2007}
}
Comments
29 pages