Free Probability on a Direct Product of Noncommutative Probability Spaces

Details Free Probability on a Direct Product of Noncommutative Probability Spaces Free Probability on a Direct Product of Noncommutative Probability Spaces

2005-09-27

arxiv.org/abs/math/0509643v1

Mathematics

Operator Algebras

27 pages

Scientific paper

In this paper, we observevd the amalgamated free probability of direct
product of noncommutative probability spaces. We defined the amalgamated
R-transforms, amalgamated moment series and the amalgamated boxed convolution.
They maks us to do the amalgamated R-transform calculus, like the scalar-valued
case.

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