Girard couples of quantales
Category Theory
2008-03-07 v1 Logic
Quantum Algebra
Abstract
We introduce the concept of a Girard couple, which consists of two (not necessarily unital) quantales linked by a strong form of duality. The two basic examples of Girard couples arise in the study of endomorphism quantales and of the spectra of operator algebras. We construct, for an arbitrary sup-lattice , a Girard quantale whose right-sided part is isomorphic to .
Cite
@article{arxiv.0803.0853,
title = {Girard couples of quantales},
author = {J. M. Egger and David Kruml},
journal= {arXiv preprint arXiv:0803.0853},
year = {2008}
}