算子空间的交叉积
算子代数
2016-02-16 v2
摘要
设 为一个算子空间， 为 上所有完全等距双射线性映射构成的群。令 通过强连续群同态 作用于 。我们定义了完全（及约化）算子空间交叉积 ，并表明对于具有其典范算子空间结构的 -代数，它与相应的 -代数交叉积一致。不幸的是，本文定理4.3的证明存在一个严重漏洞，导致该论文被撤回。
引用
@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}
}
备注
This paper has been withdrawn by the authors due to a serious gap in the proof of Theorem 4.3 which is crucial for the rest of the paper.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