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Operator algebra
About: Operator algebra is a research topic. Over the lifetime, 5783 publications have been published within this topic receiving 165303 citations.
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TL;DR: In this paper, the converse is shown to be true if U does not contain certain Type II 1 factors as direct summands, which is the case when U is abelian and weakly closed.
109 citations
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TL;DR: In this article, the authors presented some nonlinear characterizations of the automorphisms of the operator algebra $B(H) and the function algebra $C(X) by means of their spectrum preserving properties.
Abstract: We present some nonlinear characterizations of the automorphisms of the operator algebra $B(H)$ and the function algebra $C(X)$ by means of their spectrum preserving properties.
109 citations
TL;DR: A characterization of state spaces of Jordan algebras by as mentioned in this paper is improved to a form with more physical appeal in the simplified case of a finite dimension, which is the case in this paper.
Abstract: A characterization of state spaces of Jordan algebras by Alfsen and Shultz is improved to a form with more physical appeal (proposed by Wittstock) in the simplified case of a finite dimension.
108 citations
TL;DR: In this paper, the Z 2-twisted bosonic conformal field theory associated with a d-dimensional momentum lattice Λ is constructed explicitly, and a complete system of vertex operators (conformal fields) which describe this theory on the Riemann sphere is given and demonstrated to form a mutually local set when d is a multiple of 8, λ is even, and √ 2Λ ∗ is also even.
108 citations
TL;DR: In this paper, the authors show that for affine untwisted Kac-Moody algebras, solitons can be created by exponentials of quantities F i (z) which lie in the affine Kacmoody algebra and ad-diagonalise the principal Heisenberg subalgebra.
108 citations