Hypertrace and entropy gap characterizations of property (T) for II 1 factors
Journal of Functional Analysis, ISSN: 0022-1236, Vol: 287, Issue: 6, Page: 110530
2024
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Article Description
We establish a hypertrace characterization of property (T) for II1 factors: Given a II1 factors M, M does not have property (T) if and only if there exists a von Neumann algebra A with M⊂A such that A admits a M -hypertrace but no normal hypertrace. For M without property (T), such an inclusion M⊂A also admits almost vanishing Furstenberg entropy. With the same construction of M⊂A, we also establish similar characterizations of Haagerup property for II1 factors.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0022123624002180; http://dx.doi.org/10.1016/j.jfa.2024.110530; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85195082256&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0022123624002180; https://dx.doi.org/10.1016/j.jfa.2024.110530
Elsevier BV
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