Regular semigroups of endomorphisms of von Neumann factors
type: Item
instance of: scholarly article
title: Regular semigroups of endomorphisms of von Neumann factors
zbMATH Open document ID: 1029.46099
DOI: 10.1023/A:1012953124419
author: M. E. Shirokov
author: G. G. Amosov
author: Andrey V. Bulinski
published in: Mathematical Notes
publication date: 2003-06-15T00:00:00Z
review text: The authors consider a class of semigroups, closed under cocycle perturbations, which they call regular, on a factor \({\mathfrak M}\) of arbitrary type, and show that for these semigroups the problem of regular extension has a ``generalized solution''. It is shown that a certain \(C_0\)-semigroup of endomorphisms of \(\beta(H)\) can be assigned to each regular semigroup \(\{\alpha_t\}_{t\geq 0}\), and this \(C_0\)-semigroup coincides with the regular extension of semigroups, whenever it exists.
Mathematics Subject Classification ID: 46L40
Mathematics Subject Classification ID: 46L57
zbMATH DE Number: 1927819
zbMATH Keywords: \(C_0\)-semigroup of endomorphisms
zbMATH Keywords: cocycle perturbations
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: a:1012953124419
OpenAlex ID: W61632769
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description: scientific article; zbMATH DE number 1927819