A topology on the semigroup of endomorphisms on a von Neumann algebra
type: Item
instance of: scholarly article
title: A topology on the semigroup of endomorphisms on a von Neumann algebra
zbMATH Open document ID: 0921.46068
author: Carl Winsløw
published in: Journal of the Mathematical Society of Japan
publication date: 1999-09-30T00:00:00Z
review text: Let \(M\) be a von Neumann algebra and \(\text{End}(M)\) be its semigroup of endomorphisms. The author considers the natural topological structure on \(\text{End}(M)\), the \(u\)-topology, and relates it to some important invariants and constructions for endomorphisms, such as Long's endomorphisms and Izumi's Connes-Takesaki type module [see also the recent paper: \textit{U. Haagerup} and \textit{C. Winsløw}, Am. J. Math. 120, No. 3, 567-617 (1998)].
reviewed by: Khristo N. Boyadzhiev
Mathematics Subject Classification ID: 46L40
Mathematics Subject Classification ID: 46L10
Mathematics Subject Classification ID: 46L55
zbMATH DE Number: 1185921
zbMATH Keywords: von Neumann algebra
zbMATH Keywords: semigroup of endomorphisms
zbMATH Keywords: topological structure
zbMATH Keywords: \(u\)-topology
zbMATH Keywords: Long's endomorphisms
zbMATH Keywords: Izumi's Connes-Takesaki type module
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/05010169
OpenAlex ID: W2063090867
DOI: 10.2969/JMSJ/05010169
description: scientific article; zbMATH DE number 1185921