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Green's theorem for crossed products by Hilbert $C^*$-bimodules (1604.04889v2)
Published 17 Apr 2016 in math.OA
Abstract: Green's theorem gives a Morita equivalence $C_0(G/H,A)\rtimes G\sim A\rtimes H$ for a closed subgroup $H$ of a locally compact group $G$ acting on a $C*$-algebra $A$. We prove an analogue of Green's theorem in the case $G=\mathbb{Z}$, where the automorphism generating the action is replaced by a Hilbert $C*$-bimodule.