Free Probability on a Direct Product of Noncommutative Probability Spaces

Ilwoo Cho

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Free Probability on a Direct Product of Noncommutative Probability Spaces

Ilwoo Cho

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Abstract

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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BibTeX RIS

Ilwoo Cho. 2005-09-27. Free Probability on a Direct Product of Noncommutative Probability Spaces. https://arxiv.org/abs/math/0509643

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