C*-algebras from substitution tilings : a new approach

Files

Goncalves_PhD.pdf (19.71 MB)

Date

2009-12-14T23:17:35Z

Authors

Gonçalves, Daniel

Journal Title

Journal ISSN

Volume Title

Publisher

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.

Description

Keywords

C*-algebras, tiling, mathematics

Citation

URI

http://hdl.handle.net/1828/1974

Collections

ETD (Electronic Theses and Dissertations)
Theses (Mathematics and Statistics)
 
University of Victoria Libraries

We acknowledge and respect the Lək̓ʷəŋən (Songhees and Esquimalt) Peoples on whose territory the university stands, and the Lək̓ʷəŋən and W̱SÁNEĆ Peoples whose historical relationships with the land continue to this day.