Name:
Free-Boolean_product_with_amal ...
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480.6Kb
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Description:
Final Accepted Manuscript
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTDCitation
Liu, Weihua & Zhong, Ping. (2019). Free-Boolean independence with amalgamation. Infinite Dimensional Analysis, Quantum Probability and Related Topics. 22(4). 1950028. doi:10.1142/s0219025719500280Rights
© World Scientific Publishing Company.Collection Information
This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.Abstract
In this paper, we develop the notion of free-Boolean independence in an amalgamated setting. We construct free-Boolean cumulants and show that the vanishing of mixed free-Boolean cumulants is equivalent to our free-Boolean independence with amalgamation. We also provide a characterization of free-Boolean independence by conditions in terms of mixed moments. In addition, we study free-Boolean independence over a C*-algebra and prove a positivity property. A central limit law for our free-Boolean independence with amalgamation is also studied.Note
12 month embargo; published online: 23 January 2020ISSN
0219-0257EISSN
1793-6306Version
Final accepted manuscriptae974a485f413a2113503eed53cd6c53
10.1142/s0219025719500280
