{"id":{"repo_id":"regina","oai_identifier":"oai:uregina.scholaris.ca:10294/14347"},"canonical_url":"https://search.dev.ndltd.org/etd/regina/oai:uregina.scholaris.ca:10294/14347","repository":{"repo_id":"regina","name":"University of Regina","base_url":"https://uregina.scholaris.ca/server/oai/request"},"display":{"title":"Quasi-Pure E0-Semigroups","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.","abstract_html":"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_has_math":false,"creators":["Wood, Clifford Tyler"],"institution":"Faculty of Graduate Studies and Research, University of Regina","degree_name":"Doctor of Philosophy (PhD)","degree_level":"Doctoral -- first","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":[],"advisors":["Floricel, Remus"],"committee_chairs":[],"committee_members":["Farenick, Douglas","Argerami, Martin","Mobed, Nader"],"year":2021,"date_issued":"2021-03","date_published":"2021-03","updated_at":"2026-07-24T04:03:43Z","subjects":[],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier.doi","label":"DOI","values":["https://doi.org/10.82465/4716"],"render_values":[{"text":"https://doi.org/10.82465/4716","href":"https://doi.org/10.82465/4716","code":true}]}]},"links":{"outbound_url":"https://hdl.handle.net/10294/14347","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Floricel, Remus"]},{"key":"dc:contributor.committeemember","label":"Committee Member","values":["Farenick, Douglas","Argerami, Martin","Mobed, Nader"]},{"key":"dc:creator","label":"Author","values":["Wood, Clifford Tyler"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2021-09-22T20:59:51Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2021-09-22T20:59:51Z"]},{"key":"dc:date.issued","label":"Date","values":["2021-03"]},{"key":"dc:publisher","label":"Institution","values":["Faculty of Graduate Studies and Research, University of Regina"]},{"key":"dc:type","label":"Dc Type","values":["master thesis"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Doctoral -- first"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Doctor of Philosophy (PhD)"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Faculty of Graduate Studies and Research, University of Regina"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.doi","label":"DOI","values":["https://doi.org/10.82465/4716"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://hdl.handle.net/10294/14347"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["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."]},{"key":"dc:description.abstract","label":"Abstract","values":["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. 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