Cancellation does not imply stable rank one
算子代数
2007-05-23 v2 数学物理
math.MP
摘要
An unital C*-algebra A is said to have cancellation of projections if the semigroup D(A) of Murray-von Neumann equivalence classes of projections in matrices over A is cancellative. It has long been known that stable rank one implies cancellation, and some partial convereses have been established. We prove that cancellation does not imply stable rank one for simple, stably finite C*-algebras.
关键词
引用
@article{arxiv.math/0509107,
title = {Cancellation does not imply stable rank one},
author = {Andrew S. Toms},
journal= {arXiv preprint arXiv:math/0509107},
year = {2007}
}
备注
4 pages, exposition improved in proof of main theorem, to appear in Bull. LMS