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

## 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/subjectarea/asjc/2600/2600

Subjects:

?? nest representationmeet irreducible idealstrongly maximal taf algebrageneral mathematicsmathematics(all)qa mathematics ??

Departments:

ID Code:

19352

Deposited By:

Deposited On:

17 Nov 2008 14:44

Refereed?:

Yes

Published?:

Published

Last Modified:

16 Jul 2024 08:17