Crossed products and twisted k-graph algebras

2014/07/24 by Brownlowe, Nathan, Deaconu, Valentin, Kumjian, Alex +1
#46L05 #55N35 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1407.6427

Abstract

An automorphism β of a k-graph Λ induces a crossed product C^* ( Λ) \rtimes_βℤ which is isomorphic to a (k+1)-graph algebra C^* ( Λ×_βℤ). In this paper we show how this process interacts with k-graph C^*-algebras which have been twisted by an element of their second cohomology 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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