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arXiv · 1710.01374

Free-Boolean independence for pairs of algebras

Weihua Liu
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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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Weihua Liu. 2017-10-03. Free-Boolean independence for pairs of algebras. https://arxiv.org/abs/1710.01374

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