Quasi-Pure E0-Semigroups
type: CreativeWork
description: We introduce the class of quasi-pure E0-semigroups acting on a von Neumann algebra as that with equal tail and fixed-point algebras and we describe these notable algebras for E0-semigroups of B(H) where H is a separable Hilbert space. We consider the classes of pure, quasi-pure and ergodic E0-semigroups induced by essential states of the spectral C+-algebra of a product system and we characterize spatial product systems in terms of the existence of certain essential states of the corresponding spectral C+-algebra.
abstract: We introduce the class of quasi-pure E0-semigroups acting on a von Neumann algebra as that with equal tail and fixed-point algebras and we describe these notable algebras for E0-semigroups of B(H) where H is a separable Hilbert space. We consider the classes of pure, quasi-pure and ergodic E0-semigroups induced by essential states of the spectral C+-algebra of a product system and we characterize spatial product systems in terms of the existence of certain essential states of the corresponding spectral C+-algebra.
author: Wood, Clifford Tyler
language: en
date published: 2021-03
date modified: 2026-07-24T04:03:43Z
provider: University of Regina
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: Faculty of Graduate Studies and Research, University of Regina

PropertyValue
property ID: Handle
value: https://hdl.handle.net/10294/14347

PropertyValue
property ID: DOI
value: 10.82465/4716