Realization of conditionally monotone independence and monotone products of completely positive maps

Details Realization of conditionally monotone independence and monotone products of completely positive maps Realization of conditionally monotone independence and monotone products of completely positive maps

2009-11-06

arxiv.org/abs/0911.1319v1

Mathematics

Operator Algebras

Scientific paper

The paper gives an operator algebras model for the conditional monotone independence, introduced by T. Hasebe. The construction is used to prove an embedding result for the N. Muraki's monotone product of C*-algebras. Also, the formulas from the definition of conditional monotone independence are used to define the monotone product of maps which is shown to preserve complete positivity, a similar to the results from the case of free products.

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