| Autor: |
Alex Kumjian, David Pask, Aidan Sims |
| Rok vydání: |
2013 |
| Předmět: |
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| Zdroj: |
Journal of Mathematical Analysis and Applications. 401:104-113 |
| ISSN: |
0022-247X |
| DOI: |
10.1016/j.jmaa.2012.11.030 |
| Popis: |
We investigate the K -theory of twisted higher-rank-graph algebras by adapting parts of Elliott’s computation of the K -theory of the rotation algebras. We show that each 2-cocycle on a higher-rank graph taking values in an abelian group determines a continuous bundle of twisted higher-rank graph algebras over the dual group. We use this to show that for a circle-valued 2-cocycle on a higher-rank graph obtained by exponentiating a real-valued cocycle, the K -theory of the twisted higher-rank graph algebra coincides with that of the untwisted one. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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Full Text from ScienceDirect