Amalgamated R-transform Theory on Toeplitz-Probability Spaces over Toeplitz Matricial Algebras
Ilwoo Cho
Abstract
In this paper, we will consider a noncommutative probability space, (T,E), over a Toeplitz matricial algebra B=calCN, for N∈ BbbN, induced by a (scalar-valued) noncommutative probability space, (A,calϕ), with a suitable B-functional, E:T B, defined by ϕ. On this framework, we will observe amalgamated R-transform calculus with respect to a B-functional, E. The technique and idea are came from those in [12] and Free Probability of type B studied in [31].
Create a lesson
Related papers
Sharp Hausdorff--Young inequalities for some locally compact quantum groups
Jinsong Wu, Fulin Yang
Factoriality of Mixed q-Gaussian Algebras at the Boundary
Hang Yang
The ultrapower Rω is not a group factor
Minghui Ma
Super McDuff and Uniformly Super McDuff II1 factor
Xinyan Cao, Zhaolin Yao, Xiaoyan Zhou
Every classifiable simple C*-algebra has a C*-diagonal
Samuel Evington, Philipp Sibbel
Geometric Aspects of C*-Extreme Points II
Neha Hotwani