C*-algebras from substitution tilings : a new approach
| dc.contributor.author | Gonçalves, Daniel | |
| dc.contributor.supervisor | Putnam, Ian Fraser | |
| dc.date.accessioned | 2009-12-14T23:17:35Z | |
| dc.date.available | 2009-12-14T23:17:35Z | |
| dc.date.copyright | 2005 | en |
| dc.date.issued | 2009-12-14T23:17:35Z | |
| dc.degree.department | Department of Mathematics and Statistics | |
| dc.degree.level | Doctor of Philosophy Ph.D. | en |
| dc.description.abstract | C*-algebras from tilings are of particular interest. In 1998 J. Anderson and I. Putnam introduced a C*-algebra obtained from a substitution tiling that is viewed today as a standard invariant for this tilings. In this thesis we introduce another C*-algebra associated to a substitution tiling. We expect this C*-algebra to be in some sense a dual C*-algebra to the one introduced by Anderson and Putnam. but we were not able to make a precise statement. In our effort to characterize this new C*-algebras we prove that they are simple and can be constructed as an inductive limit of recursive subhomogenous algebras. We finish with K-theory computations for a number of examples. | en |
| dc.identifier.uri | http://hdl.handle.net/1828/1974 | |
| dc.language | English | eng |
| dc.language.iso | en | en |
| dc.rights | Available to the World Wide Web | en |
| dc.subject | C*-algebras | en |
| dc.subject | tiling | en |
| dc.subject | mathematics | en |
| dc.subject.lcsh | UVic Subject Index::Sciences and Engineering::Mathematics | en |
| dc.title | C*-algebras from substitution tilings : a new approach | en |
| dc.type | Thesis | en |