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. / Graduate
| Identifer | oai:union.ndltd.org:uvic.ca/oai:dspace.library.uvic.ca:1828/7711 |
| Date | 03 January 2017 |
| Creators | Williamson, Peter |
| Contributors | Putnam, Ian Fraser |
| Source Sets | University of Victoria |
| Language | English, English |
| Detected Language | English |
| Type | Thesis |
| Rights | Available to the World Wide Web |
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