New York Journal of Mathematics
Volume 16 (2010) 315-359

Volume 16

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S. Kaliszewski, Paul S. Muhly, John Quigg, and Dana P. Williams

Coactions and Fell bundles

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Published: November 2, 2010
Keywords: Full crossed product, maximal coaction, Fell bundle
Subject: Primary 46L55; Secondary 46M15, 18A25
Abstract
We show that for any Fell bundle A over a locally compact group G, there is a natural coaction δ of G on the Fell-bundle C*-algebra C*(G,A) such that the full crossed product (C*(G,A) \rtimesδ G) \rtimes\hat{δ} G by the dual action \hatδ of G is canonically isomorphic to C*(G,A)⊗K(L2(G)). Hence the coaction δ is maximal.
Author information

S. Kaliszewski:
School of Mathematical and Statistical Sciences, Arizona State University, Tempe, Arizona 85287
kaliszewski@asu.edu

Paul S. Muhly:
Department of Mathematics, The University of Iowa, Iowa City, IA 52242
pmuhly@math.uiowa.edu

John Quigg:
School of Mathematical and Statistical Sciences, Arizona State University, Tempe, Arizona 85287
quigg@asu.edu

Dana P. Williams:
Department of Mathematics, Dartmouth College, Hanover, NH 03755
dana.williams@dartmouth.edu