Representations of distributive semilattices in ideal lattices of various algebraic structures
Operator Algebras
2007-05-23 v1
Abstract
We study the relationships among existing results about representations of distributive semilattices by ideals in dimension groups, von Neumann regular rings, C*-algebras, and complemented modular lattices. We prove additional representation results which exhibit further connections with the scattered literature on these different topics.
Keywords
Cite
@article{arxiv.math/0011083,
title = {Representations of distributive semilattices in ideal lattices of various algebraic structures},
author = {K. R. Goodearl and F. Wehrung},
journal= {arXiv preprint arXiv:math/0011083},
year = {2007}
}
Comments
To appear in Algebra Universalis. Former title: "Representations of distributive semilattices by dimension groups, regular rings, C*-algebras and complemented modular lattices"