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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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The Krein Spectral Shift Function in Semifinite von Neumann Algebras
TL;DR: In this paper, the existence of a spectral shift function in the sense of Krein for bounded trace class perturbations of a self-adjoint operator affiliated with a semidefinite von Neumann algebra was shown.
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Pseudo-localization of singular integrals and noncommutative Littlewood-Paley inequalities
Tao Mei,Javier Parcet +1 more
TL;DR: In this paper, weak type inequalities for noncommutative martingale transforms and operator-valued Calderon-Zygmund operators are proved for a large class of non-Commutative square functions.
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A Comparison of Two Topos-Theoretic Approaches to Quantum Theory
TL;DR: In this paper, the authors compare the two topos-theoretic approaches to quantum mechanics, the contravariant approach and the covariant approach, using the topos of presheaves on a specific context category, defined as the poset of commutative von Neumann subalgebras of some given von NE algebra.
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HNN extensions of von Neumann algebras
TL;DR: In this paper, reduced HNN extensions of von Neumann algebras (as well as C * -algeses) are introduced, and their modular theory, factoriality and ultraproducts are discussed.
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Thermal States in Conformal QFT. II
TL;DR: In this paper, the Araki- Haag-Kastler-Takesaki theorem was extended to the non-local case and the free Fermi model admits a unique KMS state.