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

Full text not available from this repository.

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: Journal Article
Journal or Publication Title: Canadian Journal of Mathematics
Uncontrolled Keywords: /dk/atira/pure/researchoutput/libraryofcongress/qa
Subjects:
Departments: Faculty of Science and Technology > Mathematics and Statistics
ID Code: 19352
Deposited By: ep_ss_importer
Deposited On: 17 Nov 2008 14:44
Refereed?: Yes
Published?: Published
Last Modified: 22 Jun 2019 01:59
URI: https://eprints.lancs.ac.uk/id/eprint/19352

Actions (login required)

View Item View Item