中文

TAF 代数的嵌套表示

算子代数 2007-05-23 v2

摘要

强极大 TAF 代数 AA 的嵌套表示是指满足 Latπ(A)\operatorname{Lat} \pi(A) 全序的表示 π\pi。我们证明:若 AA 的谱全序,或若 Latπ(A)\operatorname{Lat} \pi(A) 含有原子,则 kerπ\operatorname{ker} \pi 是交不可约理想。

关键词

引用

@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}
}

备注

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