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HIGHER-RANK GRAPHS AND THEIR $C^*$-ALGEBRAS
| Content Provider | Scilit |
|---|---|
| Author | Raeburn, Iain Sims, Aidan Yeend, Trent |
| Copyright Year | 2003 |
| Description | 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.AMS 2000 Mathematics subject classification: Primary 46L05 |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/256408FBF7336F6BEB0B228453FF948B/S0013091501000645a.pdf/div-class-title-higher-rank-graphs-and-their-c-algebras-div.pdf |
| ISSN | 00130915 |
| e-ISSN | 14643839 |
| DOI | 10.1017/s0013091501000645 |
| Journal | Proceedings of the Edinburgh Mathematical Society |
| Issue Number | 1 |
| Volume Number | 46 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2003-02-01 |
| Access Restriction | Open |
| Subject Keyword | Proceedings of the Edinburgh Mathematical Society Graph Algebra Cuntz–krieger Algebra |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
