Free-Boolean independence for pairs of algebras
Operator Algebras
2017-11-27 v2
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.
Keywords
Cite
@article{arxiv.1710.01374,
title = {Free-Boolean independence for pairs of algebras},
author = {Weihua Liu},
journal= {arXiv preprint arXiv:1710.01374},
year = {2017}
}
Comments
Moments-condition for free-Boolean independence is added to Section 4. Title is changed. All comments are welcome