Abstract
dc:description.abstract<p>By utilizing the connections between C*-algebras, groupoids, and inverse semigroups, we obtain a characterization theorem, in terms of dynamical systems, of approximately finite-dimensional (AF) C*-algebras. The dynamical systems considered in this characterization consist of partially defined homeomorphisms, and our theorem is applied to obtain a result about crossed product C*-algebras. The ideas developed here are then used to compute the K-theory for AF algebras, and these K-theoretic calculations are applied to some specific examples of AF algebras. Finally, we show that for a given dimension group, a groupoid can be obtained directly from the dimension group's structure whose associated C*-algebra has K0 group isomorphic to the original dimension group.</p>
Degree
thesis:*- Name thesis:degree_name
- Doctor of Philosophy
- Level thesis:degree_level
- dissertation
- Department dc:contributor.department
- Department of Mathematics
- Year dc:date.issued
- 2003
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Zerr, Ryan
- Advisor dc:contributor.advisor
-
- Justin R. Peters
Rights
- Language dc:language.iso
- en
Identifiers
dc:identifier.*- Identifier
- archive/lib.dr.iastate.edu/rtd/1409/
- OAI identifier oai:identifier
- oai:dr.lib.iastate.edu:20.500.12876/67634