Skip to main content
Article thumbnail
Location of Repository

Completely Bounded Characterization of Operator Algebras with Involution

By Nikolay P. Ivankov

Abstract

In this paper we study the completely bounded anti-isomorphisms on operator algebras, that work similarly to the involutions with the exception for the property of being completely isometric. We elaborate the Blecher's characterization theorem for operator algebras to make it applicable to the so-called operator $K$-algebras with completely bounded reflexive anti-isomorphism. We also establish a connection of this result with the notion of smooth $C^*$-modules, that play an important role in Mesland's approach to Baaj-Julg picture of $KK$-theory.Comment: 10 page

Topics: Mathematics - Operator Algebras, 47L30 (Primary) 19K35, 46L80 (Secondary)
Year: 2011
OAI identifier: oai:arXiv.org:1104.2626
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://arxiv.org/abs/1104.2626 (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.