On the K-theory of twisted higher-rank-graph C*-algebras
Operator Algebras
2012-11-08 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1211.1445,
title = {On the K-theory of twisted higher-rank-graph C*-algebras},
author = {Alex Kumjian and David Pask and Aidan Sims},
journal= {arXiv preprint arXiv:1211.1445},
year = {2012}
}
Comments
15 pages; four diagrams prepared in TikZ