English

Symmetry and quasi-centrality of operator space projective tensor product

Operator Algebras 2012-05-09 v1

Abstract

For CC^{*}-algebras AA and BB, the operator space projective tensor product A^BA\hat{\otimes}B and the Banach space projective tensor product AγBA\otimes_{\gamma}B are shown to be symmetric. We also show that A^BA\hat{\otimes}B is weakly Wiener algebra. Finally, quasi-centrality, and the unitary group of A^BA\hat{\otimes}B are discussed.

Keywords

Cite

@article{arxiv.1205.1679,
  title  = {Symmetry and quasi-centrality of operator space projective tensor product},
  author = {Ajay Kumar and Vandana Rajpal},
  journal= {arXiv preprint arXiv:1205.1679},
  year   = {2012}
}