Kaliszewski, S.; Muhly, Paul S.; Quigg, John; Williams, Dana P. Coactions and Fell bundles. (English) Zbl 1226.46060 New York J. Math. 16, 315-359 (2010). Summary: We show that for any Fell bundle \(\mathcal A\) over a locally compact group \(G\), there is a natural coaction \(\delta\) of \(G\) on the Fell-bundle \(C^*\)-algebra \(C^*(G,{\mathcal A})\) such that the full crossed product \((C^*(G,{\mathcal A})\rtimes_\delta G)\rtimes_{\hat\delta} G\) by the dual action \(\hat \delta\) of \(G\) is canonically isomorphic to \(C^*(G,{\mathcal A})\otimes{\mathcal K}(L^2(G))\).Hence the coaction \(\delta\) is maximal. Cited in 6 Documents MSC: 46L55 Noncommutative dynamical systems 46M15 Categories, functors in functional analysis 18A25 Functor categories, comma categories Keywords:full crossed product; maximal coaction PDFBibTeX XMLCite \textit{S. Kaliszewski} et al., New York J. Math. 16, 315--359 (2010; Zbl 1226.46060) Full Text: arXiv EuDML EMIS