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Theory of Operator Algebras II
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The article was published on 1979-01-01 and is currently open access. It has received 3776 citations till now. The article focuses on the topics: Nest algebra & Ladder operator.read more
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Construction of Wedge-Local Nets of Observables through Longo-Witten Endomorphisms. II
TL;DR: In this article, a family of interacting wedge-local nets of von Neumann algebras was constructed, based on the endomorphisms of the U(1)-current algebra of Longo-Witten.
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Why the circle is connected: An introduction to quantized topology
Edward G. Effros,A. Grothendieck +1 more
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Conformal field theory, tensor categories and operator algebras
TL;DR: In this paper, a set of lecture notes on the operator algebraic approach to 2-dimensional conformal field theory is presented, where representation theoretic aspects and connections to vertex operator algebras are emphasized.
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Quantum measures and states on Jordan algebras
TL;DR: In this paper, it was shown that a quantum measure always has a unique extension to a bounded linear functional on A, provided that A has no TypeI2 direct summand.
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Environment-Induced Superselection Rules in Markovian Regime
TL;DR: A generalization of the Jacobs-deLeeuw-Glicksberg splitting for a quantum dynamical semigroup is introduced in this paper, which is used to derive effective superselection rules in the quantum system.