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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 243: Seminar in Functional Analysis
Yoonkyeong Lee
Michigan State University
On conjugate systems with respect to completely positive maps
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 show that the center of the von Neumann algebra generated by B and its relative commutant is the center of B.
March 3, 2025
11:00 AM
APM 7218
Research Areas
Functional Analysis / Operator Theory****************************
