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arxiv: math/0509643 · v1 · pith:25F3HJIInew · submitted 2005-09-27 · 🧮 math.OA

Free Probability on a Direct Product of Noncommutative Probability Spaces

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keywords amalgamatedprobabilitydirectfreenoncommutativeproductspacesboxed
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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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