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Free Probability on a Direct Product of Noncommutative Probability Spaces

Research paper by Ilwoo Cho

Indexed on: 27 Sep '05Published on: 27 Sep '05Published in: Mathematics - Operator Algebras



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.