Abstract

Let VV be an operator space and $\iso(V)$ be the group of all completely isometric bijective linear mappings on VV. Let GG act on VV via a strongly continuous group homomorphism $α:G \to \iso (V)$. We define the full (and reduced) operator space crossed product $V\rtimes^{\op}_{α,(r)}G$ and show that for a C∗C^*-algebra with its canonical operator space structure, it coincides with the corresponding C∗C^*-algebra crossed product. Unfortunately, the proof of Theorem 4.3 of the paper contains a serious gap, which leads to the withdrawal of the paper.

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