English

The topology of ideals in some triangular AF algebras

funct-an 2008-02-03 v1 Operator Algebras

Abstract

A set of meet-irreducible ideals is described for a class of maximal triangular almost finite algebras. This set forms a topological space under the hull-kernel closure, and there is a one-to-one correspondence between closed sets in this space and ideals in the AF algebra. Some connections with nest representations and nest-primitive ideals are also described.

Keywords

Cite

@article{arxiv.funct-an/9601001,
  title  = {The topology of ideals in some triangular AF algebras},
  author = {Michael P. Lamoureux},
  journal= {arXiv preprint arXiv:funct-an/9601001},
  year   = {2008}
}

Comments

16 pages, AMS-TeX, email [email protected]