Higher-rank graphs, or k-graphs, are higher-dimensional analogues of directed graphs, and as with ordinary directed graphs, there are various C*-algebraic objects that can be associated with them. This thesis adopts a functorial approach to study the relationship between k-graphs and their associated C*-algebras. In particular, two functors are given between appropriate categories of higher-rank graphs and the category of C*-algebras, one for Toeplitz algebras and one for Cuntz-Krieger algebras.
Download count: 0
- Partial requirement for: M.A., Arizona State University, 2016Note typethesis
- Includes bibliographical references (pages 46-47)Note typebibliography
- Field of study: Mathematics