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: | Article |
|---|---|
| Journal or Publication Title: | Canadian Journal of Mathematics |
| Uncontrolled Keywords: | nest representation ; meet irreducible ideal ; strongly maximal TAF algebra |
| Subjects: | Q Science > QA Mathematics |
| 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: | 26 Jul 2012 15:28 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/19352 |
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