On the embedding of von Neumann subalgebras
type: Item
instance of: scholarly article
title: On the embedding of von Neumann subalgebras
zbMATH Open document ID: 0981.46053
published in: Communications in Mathematical Physics
publication date: 1999-12-16T00:00:00Z
full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary
review text: Motivated by quantum field theory, the author proves the following: Given a von Neumann algebra with a cyclic and separating vector, the von Neumann subalgebras with the same cyclic vector can uniquely be characterized by ``characteristic functions'' which are one-parameter operator-valued functions fulfilling certain conditions independent on the choice of a subalgebra. Several intermediate results are leading to this final goal. The set of characteristic functions turns out to be complete under a natural topology.
reviewed by: Wojtek Slowikowski
Mathematics Subject Classification ID: 46L60
Mathematics Subject Classification ID: 46L10
zbMATH DE Number: 1379905
zbMATH Keywords: characteristic functions
zbMATH Keywords: von Neumann algebra
zbMATH Keywords: cyclic and separating vector
zbMATH Keywords: one-parameter operator-valued
author: H. J. Borchers
MaRDI profile type: Publication
OpenAlex ID: W2069027509
DOI: 10.1007/S002200050667
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description: scientific article; zbMATH DE number 1379905