Free-Boolean independence with amalgamation
Liu, Weihua · Zhong, Ping
Original · EN
In this paper, we develop the notion of free-Boolean independence in an amalgamation setting. We construct free-Boolean cumulants and show that the vanishing of mixed free-Boolean cumulants is equivalent to our free-Boolean independence with amalgamation. We also provide a characterization of free-Boolean independence by conditions in terms of mixed moments. In addition, we study free-Boolean independence over a C*-algebra and prove a positivity property.
English translation
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