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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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Covering Dimension of C*-algebras and 2-coloured Classification
TL;DR: In this paper, the authors partially supported by EPSRC (grant no. I019227/1-2), by NSF and by JSPS (the Grantin-in-Aid for Research Activity Start-up 25887031).
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The hawking information loss paradox: the anatomy of controversy
TL;DR: The authors used a simple result for C*-algebras to offer an argument for pure-to-mixed state evolution in black hole evaporation, and review responses to the Hawking paradox with respect to how effectively they rebut this argument.
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Existence and uniqueness of solutions to the operator Riccati equation. A geometric approach
TL;DR: In this paper, the authors introduced the concept of unbounded solutions to the Riccati equation and gave a complete description of its solutions associated with the spectral graph subspaces of the block operator matrix.
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Quantum perfect correlations
TL;DR: The notion of perfect correlations between observables and POVMs was introduced in the standard formulation of quantum mechanics, and characterized by several well-established statistical conditions as discussed by the authors, and the transitivity of perfect correlation is proved to generally hold, and applied to a simple articulation for the failure of Hardy's nonlocality proof for maximally entangled states.
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Geometric modular action for disjoint intervals and boundary conformal field theory
TL;DR: In this article, the modular group of local algebras associated with unions of disjoint intervals in chiral conformal quantum field theory acts geometrically in the setting of boundary conformal QFT and interpret it as a relation between temperature and acceleration.