Document Type
Journal Article
Abstract
We consider the higher-rank graphs introduced by Kumjian and Pask as models for higher rank Cuntz–Krieger algebras. We describe a variant of the Cuntz–Krieger relations which applies to graphs with sources, and describe a local convexity condition which characterizes the higher-rank graphs that admit a non-trivial Cuntz–Krieger family. We then prove versions of the uniqueness theorems and classifications of ideals for the C∗-algebras generated by Cuntz–Krieger families.
RIS ID
16533
COinS