Crossed products of operator spaces
Operator Algebras
2016-02-16 v2
Abstract
Let be an operator space and be the group of all completely isometric bijective linear mappings on . Let act on via a strongly continuous group homomorphism . We define the full (and reduced) operator space crossed product and show that for a -algebra with its canonical operator space structure, it coincides with the corresponding -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This paper has been withdrawn by the authors due to a serious gap in the proof of Theorem 4.3 which is crucial for the rest of the paper.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