Krein C*-categories
Operator Algebras
2011-12-30 v1 Category Theory
Abstract
C*-categories are essentially norm-closed *-categories of bounded linear operators between Hilbert spaces. The purpose of this work is to identify suitable axioms defining Krein C*-categories, i.e. those categories that play the role of C*-categories whenever Hilbert spaces are replaced by more general indefinite inner product Krein spaces, and provide some basic examples. Finally we provide a Gel'fand-Naimark representation theorem for Krein C*-algebras and Krein C*-categories.
Keywords
Cite
@article{arxiv.1112.5996,
title = {Krein C*-categories},
author = {Paolo Bertozzini and Kasemsun Rutamorn},
journal= {arXiv preprint arXiv:1112.5996},
year = {2011}
}
Comments
10 pages, AMS-LaTeX2e