6 citations · 18 across the 17 of their papers we have counts for
17 papers · 1 filter
Free Product Structure of a Graph W*-probability space
Ilwoo Cho
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*-Probability on the Free Group Factor L(F_N)
Ilwoo Cho
In this paper, we will use the graph W*-probability technique to re-compute the moments and cumulants of the operator which is the N-free sum of semicircular elements. This computa…
The Moments of the Block Operators in a Group von Neumann Algebra
Ilwoo Cho
In this paper, we will compute the moments of the block operators, induced by the generators of the group, in a group von Neumann algebra and we will observe the identically distri…
Compressed Random Variables in a Graph W*-Probability Space
Ilwoo Cho
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 variable…
Projections in Graph W*-Algebras
Ilwoo Cho
In this paper, we will consider the projections in a graph W*-algebra.
Diagonal Compressed Random Variables in a Graph W*-probability Spaces
Ilwoo Cho
In [15] and [16], we constructed a graph W*-probability space over its diagonal subalgebra. To study this strudture is a good example of Speicher's amalgamated W*-probability space…