吉林大学学报（理学版）2026，Vol.64Issue(3)：507-510,4.DOI:10.13413/j.cnki.jdxblxb.2025222
迹逼近可除性关于中心大子代数的遗传性
Hereditary of Tracial Approximate Divisibility for Centrally Large Subalgebras
摘要
Abstract
Without the separability condition for C*-algebras,based on the definition of tracial approximate divisibility,and by employing the structural properties of centrally large subalgebras,we prove that tracial approximate divisibility is hereditary with respect to centrally large subalgebras.Let A be an infinite dimensional unital simple C*-algebra and B be a centrally large subalgebra of A.If B has tracial approximate divisibility,then A also has tracial approximate divisibility.关键词
迹逼近可除性/C*-代数/大子代数/中心大子代数Key words
tracial approximate divisibility/C*-algebra/large subalgebra/centrally large subalgebra分类
数理科学引用本文复制引用
啜佩,赵霞..迹逼近可除性关于中心大子代数的遗传性[J].吉林大学学报（理学版）,2026,64(3):507-510,4.基金项目
国家自然科学基金(批准号:12201090)、重庆市自然科学基金(批准号:CSTB2022NSCQ-MSX1024)和重庆市教育委员会科学技术研究项目(批准号:KJQN202200535). （批准号:12201090）
