Quasi-Pure E0-Semigroups
Date
2021-03
Authors
Wood, Clifford Tyler
Journal Title
Journal ISSN
Volume Title
Publisher
Faculty of Graduate Studies and Research, University of Regina
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.
Description
A Thesis Submitted to the Faculty of Graduate Studies and Research In Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy in Mathematics, University of Regina. vi, 69 p.