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arXiv · 1512.07776

Crossed products of operator spaces

Massoud Amini·Siegfried Echterhoff·Hamed Nikpey
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Abstract

Let $V$ be an operator space and $\iso(V)$ be the group of all completely isometric bijective linear mappings on $V$. Let $G$ act on $V$ 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 $C^*$-algebra with its canonical operator space structure, it coincides with the corresponding $C^*$-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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Massoud Amini, Siegfried Echterhoff, Hamed Nikpey. 2016-02-15. Crossed products of operator spaces. https://arxiv.org/abs/1512.07776

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