14 citations · 33 across the 32 of their papers we have counts for
9 papers · 1 filter
Boundary Qoutinet Graphs and Graph Index
Ilwoo Cho
In this paper, we define the quotinet graphs. In particular, we introduce the boundary quotient graphs, admissible boundary quotient graphs and subgraph boundary qoutient graphs. B…
Free Probability on a Direct Product of Noncommutative Probability Spaces
Ilwoo Cho
In this paper, we observevd the amalgamated free probability of direct product of noncommutative probability spaces. We defined the amalgamated R-transforms, amalgamated moment ser…
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…