Multilinear function series in conditionally free probability with amalgamation

Details Multilinear function series in conditionally free probability with amalgamation Multilinear function series in conditionally free probability with amalgamation

2007-03-31

arxiv.org/abs/0704.0040v3

Mathematics

Operator Algebras

Final version, published

Scientific paper

As in the cases of freeness and monotonic independence, the notion of conditional freeness is meaningful when complex-valued states are replaced by positive conditional expectations. In this framework, the paper presents several positivity results, a version of the central limit theorem and an analogue of the conditionally free R-transform constructed by means of multilinear function series.

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