Free-Boolean independence for pairs of algebras
classification
🧮 math.OA
keywords
algebrasfree-booleanpairsindependenceconstructcumulantsmixedequivalent
read the original abstract
We construct pairs of algebras with mixed independence relations by using truncations of reduced free products of algebras. For example, we construct free-Boolean pairs of algebras and free-monotone pairs of algebras. We also introduce free-Boolean cumulants and show that free-Boolean independence is equivalent to the vanishing of mixed cumulants.
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