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Explore a 40-minute lecture by Hui Tan from the University of California, Los Angeles, recorded on February 27, 2025, at IPAM's Free Entropy Theory and Random Matrices Workshop. Delve into various applications of Shlyakhtenko's M-valued semicircular systems, including characterization of Property (T), Haagerup's property for II1 factors in terms of inclusions, and weak containment of bimodules. This presentation from the Institute for Pure & Applied Mathematics (IPAM) offers advanced mathematical insights for researchers and students interested in free entropy theory. For more information about the workshop, visit the IPAM website at: https://www.ipam.ucla.edu/programs/workshops/free-entropy-theory-and-random-matrices/
