Cuntz-Pimsner algebras associated with substitution tilings
| dc.contributor.author | Williamson, Peter | |
| dc.contributor.supervisor | Putnam, Ian Fraser | |
| dc.date.accessioned | 2017-01-03T22:37:42Z | |
| dc.date.available | 2017-01-03T22:37:42Z | |
| dc.date.copyright | 2016 | en_US |
| dc.date.issued | 2017-01-03 | |
| dc.degree.department | Department of Mathematics and Statistics | |
| dc.degree.level | Doctor of Philosophy Ph.D. | en_US |
| dc.description.abstract | A Cuntz-Pimsner algebra is a quotient of a generalized Toeplitz algebra. It is completely determined by a C*-correspondence, which consists of a right Hilbert A- module, E, and a *-homomorphism from the C*-algebra A into L(E), the adjointable operators on E. Some familiar examples of C*-algebras which can be recognized as Cuntz-Pimsner algebras include the Cuntz algebras, Cuntz-Krieger algebras, and crossed products of a C*-algebra by an action of the integers by automorphisms. In this dissertation, we construct a Cuntz-Pimsner Algebra associated to a dynam- ical system of a substitution tiling, which provides an alternate construction to the groupoid approach found in [3], and has the advantage of yielding a method for com- puting the K-Theory. | en_US |
| dc.description.scholarlevel | Graduate | en_US |
| dc.identifier.uri | http://hdl.handle.net/1828/7711 | |
| dc.language | English | eng |
| dc.language.iso | en | en_US |
| dc.rights | Available to the World Wide Web | en_US |
| dc.subject | mathematics | en_US |
| dc.subject | tiling spaces | en_US |
| dc.subject | c* algebras | en_US |
| dc.subject | hilbert modules | en_US |
| dc.subject | cuntz-pimsner algebras | en_US |
| dc.title | Cuntz-Pimsner algebras associated with substitution tilings | en_US |
| dc.type | Thesis | en_US |