| Affiliation: | (1) Department of Mathematics, University of California, Santa Barbara, CA 93106, USA, e-mail: goodearl@math.ucsb.edu, URL: http://www.math.ucsb.edu/~goodearl, US;(2) CNRS, ESA 6081, Département de Mathématiques, Université de Caen, F-14032 Caen Cedex, France, e-mail: wehrung@math.unicaen.fr, URL: http://www.math.unicaen.fr/~wehrung, FR |
| 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. Received March 2, 1998; accepted in final form November 9, 2000. |
