RIS ID
74610
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.
Grant Number
ARC/DP120100389
Publication Details
Kumjian, A., Pask, D. & Sims, A. (2013). On the K-theory of twisted higher-rank-graph C*-algebras. Journal of Mathematical Analysis and Applications, 401 (1), 104-113.