取消并不意味着稳定的秩1
Cancellation does not imply stable rank one
摘要：
称有单位的C* 代数-代数A具有投影可消性，如果A上矩阵投影的Murray-von Neumann等价类半群D（A）是可消的.长期以来，人们都知道稳定秩1意味着相消，并且已经建立了一些部分相消。我们证明了对于简单的稳定有限C* 代数，消去并不意味着稳定秩1.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
