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Topics in quantum theory and operator algebras
Topics in quantum theory and operator algebras
ABSTRACT
This is an introductory course exploring notions and results in the theory of operator algebras which are useful for quantum theory. The topics include: Observable algebras, states, trace-class operators, Gelfand-Naimark-Segal (GNS) representation, Kubo-Martin-Schwinger (KMS) equilibrium states, Tomita-Takesaki theory, standard form of von Neumann algebras, Araki-Woods representation of the infinite free Bose gas.
SCHEDULE
Monday, March 14
meeting room (7th floor), 10:00 - 12:00Monday, March 21
meeting room (7th floor), 10:00 - 12:00Monday, March 28
meeting room (7th floor), 10:00 - 12:00REFERENCES
O. Bratteli, D.W. Robinson: Operator Algebras and Quantum Statistical Mechanics 1,2. Texts and Monographs in Physics, Springer Verlag, 1987.
S. Attal, A. Joye, C.-A. Pillet (Eds.): Open Quantum Systems I. Lecture Notes in Mathematics 1880, Springer Verlag, 2006.
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