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Full crossed products by Hopf C*-algebras

May M. Nilsen
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Abstract

We show that when a co-involutive Hopf C*-algebra $S$ coacts via $δ$ on a C*-algebra $A$, there exists a full crossed product $A\times_δS$, 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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May M. Nilsen. 1998-06-05. Full crossed products by Hopf C*-algebras. https://arxiv.org/abs/math/9806026

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