Representations of distributive semilattices in ideal lattices of various algebraic structures
Ken R. Goodearl, Friedrich Wehrung · arXiv (Cornell University) · 2000
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.