Nest Representations of TAF Algebras

Alan Hopenwasser; Justin R. Peters; Stephen C. Power

Nest Representations of TAF Algebras

Operator Algebras 2007-05-23 v2

Authors: Alan Hopenwasser , Justin R. Peters , Stephen C. Power

Abstract

A nest representation of a strongly maximal TAF algebra $A$ is a representation $\pi$ for which $\operatorname{Lat} \pi(A) is totally ordered. We prove that if the spectrum of$ A $is totally ordered, or if$ \operatorname{Lat} \pi(A) $contains an atom, then$ \operatorname{ker} \pi$ is a meet irreducible ideal.

Keywords

representation theory of algebras

Cite

@article{arxiv.math/9905088,
  title  = {Nest Representations of TAF Algebras},
  author = {Alan Hopenwasser and Justin R. Peters and Stephen C. Power},
  journal= {arXiv preprint arXiv:math/9905088},
  year   = {2007}
}

Comments

AMS-LaTeX, 17 pages. Revised version corrects a misstatement in the expository material of the main theorem in section 3. Other minor misprints are also corrrected

Nest Representations of TAF Algebras

Abstract

Keywords

Cite

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