Full crossed products by Hopf C*-algebras

Details Full crossed products by Hopf C*-algebras Full crossed products by Hopf C*-algebras

1998-06-05

arxiv.org/abs/math/9806026v1

Mathematics

Operator Algebras

AMS-LaTeX, 19 pages

Scientific paper

We show that when a co-involutive Hopf C*-algebra $S$ coacts via $\delta$ on
a C*-algebra $A$, there exists a full crossed product $A\times_\delta S$, with
universal properties analogous to those of full crossed products by locally
compact groups. The dual Hopf C*-algebra is then defined by
$\hat S:={\Bbb C}\times_{\id} S$.

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