# Nest representations of TAF algebras.

Hopenwasser, Alan and Peters, Justin R. and Power, Stephen C. (2000) Nest representations of TAF algebras. Canadian Journal of Mathematics, 52 (6). pp. 1221-1234. ISSN 0008-414X

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## Abstract

A nest representation of a strongly maximal TAF algebra $A$ with diagonal $D$ is a representation $\pi$ for which $\lat \pi(A)$ is totally ordered. We prove that $\ker \pi$ is a meet irreducible ideal if the spectrum of $A$ is totally ordered or if (after an appropriate similarity) the von Neumann algebra $\pi(D)''$ contains an atom.

Item Type: Article Canadian Journal of Mathematics nest representation ; meet irreducible ideal ; strongly maximal TAF algebra Q Science > QA Mathematics Faculty of Science and Technology > Mathematics and Statistics 19352 ep_ss_importer 17 Nov 2008 14:44 Yes Published 09 Oct 2013 13:12 http://eprints.lancs.ac.uk/id/eprint/19352