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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 article, it was shown that the Cuntz-Pimsner C*-algebra associated to a Hilbert bimodule is exact if and only if A is exact.
Abstract: Let H be a full Hilbert bimodule over a C*-algebra A. We show that the Cuntz-Pimsner C*-algebra associated to H is exact if and only if A is exact. Using this result, we give alternative proofs for exactness of reduced amalgamated free products of exact C*-algebras. In the case that A is a finite dimensional C*-algebra, we also show that the Brown-Voiculescu topological entropy of Bogljubov automorphisms of the Cuntz-Pimsner algebra associated to an A,A Hilbert bimodule is zero.
47 citations
Posted Content•
TL;DR: The most recent wave of applications of logic to operator algebras is a young and rapidly developing field as mentioned in this paper, which is a snapshot of the current state of the art.
Abstract: The most recent wave of applications of logic to operator algebras is a young and rapidly developing field. This is a snapshot of the current state of the art.
47 citations
47 citations
47 citations
TL;DR: In this article, an extension of the definition of vertex algebras in arbitrary space-time dimensions together with their basic structure theory is proposed, and a one-to-one correspondence between these vertex algesbras and axiomatic quantum field theory with global conformal invariance (GCI) is constructed.
Abstract: We propose an extension of the definition of vertex algebras in arbitrary space–time dimensions together with their basic structure theory. A one–to–one correspondence between these vertex algebras and axiomatic quantum field theory (QFT) with global conformal invariance (GCI) is constructed.
47 citations