Geodesic
Nest Representations of TAF Algebras
Canadian journal of mathematics, Tome 52 (2000) no. 6, pp. 1221-1234

Voir la notice de l'article provenant de la source Cambridge University Press

A nest representation of a strongly maximal $\text{TAF}$ algebra $A$ with diagonal $D$ is a representation $\pi $ for which $\text{Lat}\,\pi \left( A \right)$ 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 $\text{ }\!\!\pi\!\!\text{ }{{\left( D \right)}^{\prime \prime }}$ contains an atom.
DOI : 10.4153/CJM-2000-051-7
Mots-clés : 47L40, 47L35, nest representation, meet irreducible ideal, strongly maximal TAF algebra 
Hopenwasser, Alan; Peters, Justin R.; Power, Stephen C. Nest Representations of TAF Algebras. Canadian journal of mathematics, Tome 52 (2000) no. 6, pp. 1221-1234. doi: 10.4153/CJM-2000-051-7
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