Crossed products and twisted k-graph algebras
An automorphism β of a k-graph Λ induces a crossed product C⋆(Λ)⋊βZ which is isomorphic to a (k+1)-graph algebra C⋆(ΛxβZ). In this paper we show how this process interacts with k-graph C⋆- algebras which have been twisted by an element of their second co-homology group. This analysis is done using a long exact sequence in cohomology associated to this data. We conclude with some examples.
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Brownlowe, N., Deaconu, V., Kumjian, A. & Pask, D. (2016). Crossed products and twisted k-graph algebras. The New York Journal of Mathematics, 22 229-250.