dc.contributor.author | Wiart, Jaspar | |
dc.date.accessioned | 2017-08-18 13:31:53 (GMT) | |
dc.date.available | 2017-08-18 13:31:53 (GMT) | |
dc.date.issued | 2017-08-18 | |
dc.date.submitted | 2017-08-03 | |
dc.identifier.uri | http://hdl.handle.net/10012/12159 | |
dc.description.abstract | We compute the C*-envelope of the isometric semicrossed product of a C*-algebra arising from number theory by the multiplicative semigroup of a number ring R, and prove that it is isomorphic to T[R], the left regular representation of the ax+b-semigroup of R. We do this by explicitly dilating an arbitrary representation of the isometric semicrossed product to a representation of T[R] and show that such representations are maximal.
We also study the Jacobson radical of the semicrossed product of a simple C*-algebra and either a subsemigroup of an abelian group or a free semigroup. A full characterization of the Jacobson radical is obtained for a large subset of these semicrossed products and we apply our results to a number of examples. | en |
dc.language.iso | en | en |
dc.publisher | University of Waterloo | en |
dc.subject | Semicrossed product | en |
dc.subject | C*-algebra | en |
dc.subject | C*-envelope | en |
dc.subject | Dilation | en |
dc.subject | Dynamical System | en |
dc.subject | Endomorphism | en |
dc.subject | Finite Index Conditional Expectation | en |
dc.subject | Jacobson Radical | en |
dc.subject | Purely Infinite | en |
dc.subject | Semi-simplicity | en |
dc.title | Semicrossed Products, Dilations, and Jacobson Radicals | en |
dc.type | Doctoral Thesis | en |
dc.pending | false | |
uws-etd.degree.department | Pure Mathematics | en |
uws-etd.degree.discipline | Pure Mathematics | en |
uws-etd.degree.grantor | University of Waterloo | en |
uws-etd.degree | Doctor of Philosophy | en |
uws.contributor.advisor | Ken, Davidson | |
uws.contributor.affiliation1 | Faculty of Mathematics | en |
uws.published.city | Waterloo | en |
uws.published.country | Canada | en |
uws.published.province | Ontario | en |
uws.typeOfResource | Text | en |
uws.peerReviewStatus | Unreviewed | en |
uws.scholarLevel | Graduate | en |