迹逼近可除性关于中心大子代数的遗传性OA
Hereditary of Tracial Approximate Divisibility for Centrally Large Subalgebras
在C*-代数无可分条件的情形下,基于迹逼近可除的定义,利用中心大子代数的结构性质,证明迹逼近可除性关于中心大子代数具有遗传性.设A是一无限维有单位元的单C*-代数,B是A的中心大子代数,若B有迹逼近可除性,则A也有迹逼近可除性.
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.
啜佩;赵霞
重庆师范大学数学科学学院,重庆 401331重庆师范大学数学科学学院,重庆 401331
数理科学
迹逼近可除性C*-代数大子代数中心大子代数
tracial approximate divisibilityC*-algebralarge subalgebracentrally large subalgebra
《吉林大学学报（理学版）》 2026 (3)
507-510,4
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).
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