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Free-Boolean independence for pairs of algebras

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 نشر من قبل Weihua Liu
 تاريخ النشر 2017
  مجال البحث
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 تأليف Weihua Liu




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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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