Toeplitz C*-algebra of the semigroup of principal ideals in a number field
| dc.contributor.author | Peebles, Jason Samuel | |
| dc.contributor.supervisor | Laca, Marcelo | |
| dc.date.accessioned | 2010-03-18T18:03:23Z | |
| dc.date.available | 2010-03-18T18:03:23Z | |
| dc.date.copyright | 2007 | en |
| dc.date.issued | 2010-03-18T18:03:23Z | |
| dc.degree.department | Department of Mathematics and Statistics | |
| dc.degree.level | Master of Science M.Sc. | en |
| dc.description.abstract | We consider the semigroup of principal integral ideals, P. in a number field and study its associated Toeplitz representation. From this specific representation, a certain covariance relation is obtained and subsequently arbitrary isometric representations of P which satisfy this relation are analyzed. This leads to the study of the universal C*-algebra C*(P) satisfying these relations and to the following results. We first express C*(P) as a crossed product of an abelian C*-algebra by endomorphisms associated to P. We then give an explicit characterization of faithful representations of this crossed product, from which it follows as an immediate corollary that the Toeplitz C*-algebra is in fact isomorphic to the universal C*-algebra. | en |
| dc.identifier.uri | http://hdl.handle.net/1828/2380 | |
| dc.language | English | eng |
| dc.language.iso | en | en |
| dc.rights | Available to the World Wide Web | en |
| dc.subject | mathematics | en |
| dc.subject | Topelitz operators | en |
| dc.subject | functional analysis | en |
| dc.subject.lcsh | UVic Subject Index::Sciences and Engineering::Mathematics | en |
| dc.title | Toeplitz C*-algebra of the semigroup of principal ideals in a number field | en |
| dc.type | Thesis | en |