Yoonkyeong Lee - On conjugate systems with respect to completely positive maps - IPAM at UCLA
Recorded 25 February 2025. Yoonkyeong Lee of Michigan State University presents "On conjugate systems with respect to completely positive maps" at IPAM's Free Entropy Theory and Random Matrices Workshop.
Abstract: In 2010, Dabrowski showed that a von Neumann algebra generated by self-adjoint operators is a factor when they admit a conjugate system. We extend this to the operator-valued case by defining an operator valued partial derivative and conjugate systems with respect to completely positive maps. We examine some polynomials that do not have atoms in B and using this, show that the center of the von Neumann algebra generated by B and its relative commutant is the center of B
Learn more online at: https://www.ipam.ucla.edu/programs/workshops/free-entropy-theory-and-random-matrices/
Видео Yoonkyeong Lee - On conjugate systems with respect to completely positive maps - IPAM at UCLA канала Institute for Pure & Applied Mathematics (IPAM)
Abstract: In 2010, Dabrowski showed that a von Neumann algebra generated by self-adjoint operators is a factor when they admit a conjugate system. We extend this to the operator-valued case by defining an operator valued partial derivative and conjugate systems with respect to completely positive maps. We examine some polynomials that do not have atoms in B and using this, show that the center of the von Neumann algebra generated by B and its relative commutant is the center of B
Learn more online at: https://www.ipam.ucla.edu/programs/workshops/free-entropy-theory-and-random-matrices/
Видео Yoonkyeong Lee - On conjugate systems with respect to completely positive maps - IPAM at UCLA канала Institute for Pure & Applied Mathematics (IPAM)
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26 февраля 2025 г. 21:49:19
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