Gauge groups of \(E_{0}\)-semigroups obtained from powers weights
type: Item
instance of: scholarly article
zbMATH Open document ID: 1260.46048
author: Christopher Jankowski
author: Daniel Markiewicz
publication date: 2012-08-27T00:00:00Z
full work available at URL: https://arxiv.org/abs/1102.5671
Mathematics Subject Classification ID: 46L55
zbMATH DE Number: 6072503
zbMATH Keywords: \(E_0\)-semigroup
zbMATH Keywords: Arveson system
MaRDI profile type: Publication
OpenAlex ID: W2962803674
arXiv ID: 1102.5671
DOI: 10.1093/IMRN/RNR142
published in: IMRN. International Mathematics Research Notices
title: Gauge groups of \(E_{0}\)-semigroups obtained from powers weights
review text: \(E_0\)-semigroups (that is, semigroups of unital endomorphims) on \(B(H)\) are classified by their Arveson systems up to cocycle conjugacy. The gauge group of an \(E_0\)-semigroup is the automorphism group of its associated Arveson system and, therefore, a cocycle conjugacy invariant. Except for CCR-flows, the gauge group is usually quite difficult to compute. Based on Powers's technique to analyse spatial \(E_0\)-semigroups up to cocycle conjugacy in terms of CP-flows, the authors compute explicitly the gauge groups of several type II\(_0\) \(E_0\)-semigroups.
reviewed by: Michael Skeide
description: scientific article; zbMATH DE number 6072503