Title

Crossed products and twisted k-graph algebras

RIS ID

105933

Publication Details

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.

Abstract

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.

Link to publisher version (URL)

The New York Journal of Mathematics

Grant Number

ARC/DP110102484

Please refer to publisher version or contact your library.

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