C*-代数中的角
算子代数
2014-07-15 v2
摘要
在本工作中,我们将由投影生成的 C*-代数 A 刻画为:其中任意一对投影均有正角,这类代数是阿贝尔代数经由紧算子代数的某些扩张。我们表明该性质等价于投影的一个格论性质,也等价于 A 的有限维 *-子代数之集为有向的这性质。
引用
@article{arxiv.math/0601003,
title = {Angles in C*-algebras},
author = {M. Anoussis and A. Katavolos and I. G. Todorov},
journal= {arXiv preprint arXiv:math/0601003},
year = {2014}
}
备注
The paper has been completely rewritten and differs essentially from "Lattices of projections and operator ranges in C*-algebras". New results have been added (Sec. 4 and 5) answering question 3.12 in the "Lattices..." paper. Sec. 4 of "Lattices ..." does not appear in the new version. Note that there is a gap in the proof of Theorem 4.10 of the old version