Home > Research > Publications & Outputs > Nest representations of TAF algebras.

Research

Associated organisational units

Links

Keywords

View graph of relations

Nest representations of TAF algebras.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published

Standard

Nest representations of TAF algebras. / Hopenwasser, Alan; Peters, Justin R.; Power, Stephen C.
In: Canadian Journal of Mathematics, Vol. 52, No. 6, 2000, p. 1221-1234.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Hopenwasser, A, Peters, JR & Power, SC 2000, 'Nest representations of TAF algebras.', Canadian Journal of Mathematics, vol. 52, no. 6, pp. 1221-1234. <http://journals.cms.math.ca/cgi-bin/vault/view/hopenwasser1209>

APA

Hopenwasser, A., Peters, J. R., & Power, S. C. (2000). Nest representations of TAF algebras. Canadian Journal of Mathematics, 52(6), 1221-1234. http://journals.cms.math.ca/cgi-bin/vault/view/hopenwasser1209

Vancouver

Hopenwasser A, Peters JR, Power SC. Nest representations of TAF algebras. Canadian Journal of Mathematics. 2000;52(6):1221-1234.

Author

Hopenwasser, Alan ; Peters, Justin R. ; Power, Stephen C. / Nest representations of TAF algebras. In: Canadian Journal of Mathematics. 2000 ; Vol. 52, No. 6. pp. 1221-1234.

Bibtex

@article{83160ad7c2d64458875cbc9fb9d75148,
title = "Nest representations of TAF algebras.",
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.",
keywords = "nest representation, meet irreducible ideal, strongly maximal TAF algebra",
author = "Alan Hopenwasser and Peters, {Justin R.} and Power, {Stephen C.}",
year = "2000",
language = "English",
volume = "52",
pages = "1221--1234",
journal = "Canadian Journal of Mathematics",
issn = "0008-414X",
publisher = "Canadian Mathematical Society",
number = "6",

}

RIS

TY - JOUR

T1 - Nest representations of TAF algebras.

AU - Hopenwasser, Alan

AU - Peters, Justin R.

AU - Power, Stephen C.

PY - 2000

Y1 - 2000

N2 - 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.

AB - 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.

KW - nest representation

KW - meet irreducible ideal

KW - strongly maximal TAF algebra

M3 - Journal article

VL - 52

SP - 1221

EP - 1234

JO - Canadian Journal of Mathematics

JF - Canadian Journal of Mathematics

SN - 0008-414X

IS - 6

ER -