Results 91 to 100 of about 50,290 (183)
On the operator equation α+α−1=β+β−1
International Journal of Mathematics and Mathematical Sciences, 1986 Let α,β be ∗-automorphisms of a von Neumann algebra M satisfying the operator equation α+α−1=β+β−1. In this paper we use new techniques (which are useful in noncommutative situations as well) to provide alternate proofs of the results:- If α,β commute ...
A. B. Thaheem
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Spectral order on unbounded operators and their symmetries
Учёные записки Казанского университета: Серия Физико-математические науки, 2018 The spectral order on positive unbounded operators affiliated with von Neumann algebras have been considered. The spectral order has physical meaning of comparing distribution functions of quantum observables and organizes the structure of unbounded ...
J. Hamhalter, E.A. Turilova
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Crossed product algebras and generalized entropy for subregions
SciPost Physics CoreAn early result of algebraic quantum field theory is that the algebra of any subregion in a QFT is a von Neumann factor of type III$_{1}$, in which entropy cannot be well-defined because such algebras do not admit a trace or density states.
Shadi Ali Ahmad, Ro Jefferson
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Some metric characterizations of commutativity in C*-algebras [PDF]
Surveys in Mathematics and its ApplicationsWe study Le Page's theorem in the context of C*-algebras and obtain several characterizations of commutativity and centrality implied by identities or inequalities satisfied by the norm.
Florin Pop
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Journal of High Energy PhysicsEuclidean path integrals for UV-completions of d-dimensional bulk quantum gravity were recently studied in [1] by assuming that they satisfy axioms of finiteness, reality, continuity, reflection-positivity, and factorization.
Donald Marolf, Daiming Zhang
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Local Poincaré algebra from quantum chaos
Journal of High Energy PhysicsThe local two-dimensional Poincaré algebra near the horizon of an eternal AdS black hole, or in proximity to any bifurcate Killing horizon, is generated by the Killing flow and outward null translations on the horizon.
Shoy Ouseph +4 more
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Derivations and KMS-Symmetric Quantum Markov Semigroups. [PDF]
Commun Math Phys, 2023 Vernooij M, Wirth M.
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Algebraic representations of von Neumann algebras
, 2006 An algebraic extended bilinear Hilbert semispace is proposed as being the natural representation space for the algebras of von Neumann.This bilinear Hilbert semispace has a well defined structure given by the representation space of an algebraic general bilinear semigroup over the product of sets of archimedean completions characterized by increasing ...
openaire +2 more sources
Operator-Valued Twisted Araki-Woods Algebras. [PDF]
Commun Math PhysKumar RR, Wirth M.
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