Amalgamated R-transform Theory on Toeplitz-Probability Spaces over Toeplitz Matricial Algebras
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].
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