Operator Algebras
Mostrando 1-12 de 21 artigos, teses e dissertações.
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1. Uma álgebra de Clifford de assinatura (n,3n) e os operadores densidade da teoria da informação quântica / A Clifford algebra of signature (n,3n) and the density operators of quantum information theory
Este trabalho apresenta uma linguagem algébrica para dois elementos básicos da teoria da informação quântica (os bits quânticos e os operadores densidade), baseada nas propriedades de uma álgebra de Clifford de assinatura (n,3n). Demonstramos que a nova descrição desses elementos preserva as mesmas propriedades matemáticas obtidas com a descrição
Publicado em: 2011
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2. Aspectos estruturais e dinâmicos da correspondência AdS/CFT: Uma abordagem rigorosa / Structural and Dynamical Aspects of the AdS/CFT Correspondence: a Rigorous Approach
Elaboramos um estudo detalhado de alguns aspectos d(e uma versão d)a correspondência AdS/CFT, conjeturada por Maldacena e Witten, entre teorias quânticas de campo num fundo gravitacional dado por um espaço-tempo assintoticamente anti-de Sitter (AAdS), e teorias quânticas de campos conformalmente covariantes no infinito conforme (no sentido de Penrose) d
Publicado em: 2007
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3. Orientation in operator algebras
A concept of orientation is relevant for the passage from Jordan structure to associative structure in operator algebras. The research reported in this paper bridges the approach of Connes for von Neumann algebras and ourselves for C*-algebras in a general theory of orientation that is of geometric nature and is related to dynamics.
The National Academy of Sciences.
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4. Multiplier operator algebras and applications
The one-sided multipliers of an operator space X are a key to “latent operator algebraic structure” in X. We begin with a survey of these multipliers, together with several of the applications that they have had to operator algebras. We then describe several new results on one-sided multipliers, and new applications, mostly to one-sided M-ideals.
National Academy of Sciences.
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5. Geometric interpretation of vertex operator algebras.
In this paper, Vafa's approach to the formulation of conformal field theories is combined with the formal calculus developed in Frenkel, Lepowsky, and Meurman's work on the vertex operator construction of the Monster to give a geometric definition of vertex operator algebras. The main result announced is the equivalence between this definition and the algebr
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6. IRREDUCIBLE OPERATOR ALGEBRAS
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7. MULTIPLICITY THEORY FOR OPERATOR ALGEBRAS
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8. From the representation theory of vertex operator algebras to modular tensor categories in conformal field theory
National Academy of Sciences.
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9. The Hochschild cohomology problem for von Neumann algebras
In 1967, when Kadison and Ringrose began the development of continuous cohomology theory for operator algebras, they conjectured that the cohomology groups Hn(M, M), n ≥ 1, for a von Neumann algebra M, should all be zero. This conjecture, which has important structural implications for von Neumann algebras, has been solved affirmatively in the type I, II�
The National Academy of Sciences.
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10. Vertex representations of quantum affine algebras
We construct vertex representations of quantum affine algebras of ADE type, which were first introduced in greater generality by Drinfeld and Jimbo. The limiting special case of our construction is the untwisted vertex representation of affine Lie algebras of Frenkel-Kac and Segal. Our representation is given by means of a new type of vertex operator corresp
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11. The “Up-Down” Problem For Operator Algebras
It is shown that for any C*-algebra A of operators on a separable Hilbert space, there is, for each self-adjoint operator x in the strong closure of A, a sequence {xn} of self-adjoint operators, each of which is the strong limit of a monotone increasing sequence of self-adjoint operators from A, such that {xn} is monotone decreasing and strongly convergent t
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12. On representations of finite type
Representations of the (infinite) canonical anticommutation relations and the associated operator algebra, the fermion algebra, are studied. A “coupling constant” (in (0,1]) is defined for primary states of “finite type” of that algebra. Primary, faithful states of finite type with arbitrary coupling are constructed and classified. Their physical sig
The National Academy of Sciences.