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S. Kaliszewski, Paul S. Muhly, John Quigg, and Dana P. Williams
Coactions and Fell bundles view print
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| Published: |
November 2, 2010 |
| Keywords: |
Full crossed product, maximal coaction, Fell bundle |
| Subject: |
Primary 46L55; Secondary 46M15, 18A25 |
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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.
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| 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
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