Meet irreducible ideals in direct limit algebras
funct-an
2008-02-03 v1 Operator Algebras
Abstract
We study the meet irreducible ideals in certain direct limit algebras, namely the strongly maximal triangular subalgebras of AF C*-algebras. These ideals have a description in terms of the coordinates, or spectrum, that is a natural extension of one description of meet irreducible ideals in the upper triangular matrices. Additional information is available if the limit algebra is an analytic subalgebra of its C*-envelope or if the analytic algebra is trivially analytic with an injective 0-cocycle. Completely meet irreducible ideals are considered, and a distance formula is presented.
Keywords
Cite
@article{arxiv.funct-an/9701005,
title = {Meet irreducible ideals in direct limit algebras},
author = {Allan P. Donsig and Alan Hopenwasser and Timothy D. Hudson and Michael P. Lamoureux and Baruch Solel},
journal= {arXiv preprint arXiv:funct-an/9701005},
year = {2008}
}
Comments
AMS-TeX v2.1, 27 pages with no figures