John Quigg
Full and reduced coactions of locally compact groups on C*-algebras.
Fri, 01/22/2010 - 16:01 — SomNambulAuthors: Iain Raeburn, Astrid an Huef, John Quigg, Dana P. Williams
Subjects: Operator Algebras
AbstractWe survey the results required to pass between full and reduced coactions of
locally compact groups on C*-algebras, which say, roughly speaking, that one
can always do so without changing the crossed-product C*-algebra. Wherever
possible we use definitions and constructions that are well-documented and
accessible to non-experts, and otherwise we provide full details. We then give
a series of applications to illustrate the use of these techniques.Coactions and Fell bundles.
Fri, 09/18/2009 - 11:36 — SomNambulAuthors: S. Kaliszewski, Paul S. Muhly, John Quigg, Dana P. Williams
Subjects: Operator Algebras
AbstractWe show that if $\AA$ is a Fell bundle over a locally compact group $G$, then
there is a natural coaction $\delta$ of $G$ on the Fell-bundle $C^*$-algebra
$C^*(G,\AA)$ such that if $\hat{\delta}$ is the dual action of $G$ on the
crossed product $C^*(G,\AA) \rtimes_{\delta} G$, then the full crossed product
$(C^*(G,\AA) \rtimes_{\delta}G)\rtimes_{\hat{\delta}}G$ is canonically
isomorphic to $C^*(G,\AA) \otimes\KK(L^2(G))$. Hence the coaction $\delta$ is
maximal.Coactions and Fell bundles.
Fri, 09/18/2009 - 11:36 — SomNambulAuthors: S. Kaliszewski, Paul S. Muhly, John Quigg, Dana P. Williams
Subjects: Operator Algebras
AbstractWe show that if $\AA$ is a Fell bundle over a locally compact group $G$, then
there is a natural coaction $\delta$ of $G$ on the Fell-bundle $C^*$-algebra
$C^*(G,\AA)$ such that if $\hat{\delta}$ is the dual action of $G$ on the
crossed product $C^*(G,\AA) \rtimes_{\delta} G$, then the full crossed product
$(C^*(G,\AA) \rtimes_{\delta}G)\rtimes_{\hat{\delta}}G$ is canonically
isomorphic to $C^*(G,\AA) \otimes\KK(L^2(G))$. Hence the coaction $\delta$ is
maximal.
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