English

Crossed products of operator spaces

Operator Algebras 2016-02-16 v2

Abstract

Let VV be an operator space and \iso(V)\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\iso(V)\alpha:G \to \iso (V). We define the full (and reduced) operator space crossed product Vα,(r)\opGV\rtimes^{\op}_{\alpha,(r)}G and show that for a CC^*-algebra with its canonical operator space structure, it coincides with the corresponding CC^*-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.

Keywords

Cite

@article{arxiv.1512.07776,
  title  = {Crossed products of operator spaces},
  author = {Massoud Amini and Siegfried Echterhoff and Hamed Nikpey},
  journal= {arXiv preprint arXiv:1512.07776},
  year   = {2016}
}

Comments

This paper has been withdrawn by the authors due to a serious gap in the proof of Theorem 4.3 which is crucial for the rest of the paper. The authors plan to publish part of the results in a different publication