Free-Boolean independence for pairs of algebras
Copyright policy )Free-Boolean independence for pairs of algebras
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.
Moments-condition for free-Boolean independence is added to Section 4. Title is changed. All comments are welcome
- Indiana University United States
Free probability and free operator algebras, free-Booelean independence, Mathematics - Operator Algebras, FOS: Mathematics, Nonassociative selfadjoint operator algebras, interval-noncrossing partition, Operator Algebras (math.OA), free-Boolean cumulants, free-Booelean moments condition
Free probability and free operator algebras, free-Booelean independence, Mathematics - Operator Algebras, FOS: Mathematics, Nonassociative selfadjoint operator algebras, interval-noncrossing partition, Operator Algebras (math.OA), free-Boolean cumulants, free-Booelean moments condition
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