理想交性质下的正则理想
Regular ideals under the ideal intersection property
摘要：
这篇短文的目的是证明当$A$是一个C* 代数$B$的闭 *-子代数，满足理想交性质加上一个温和公理（INV）时，那么映射$J\mapsto J\cap A$建立了一个从$B$的所有正则理想的布尔代数到$A$的所有正则不变理想的布尔代数的同构。
英文摘要：
The goal of this short note is to prove that when $A$ is a closed *-subalgebra of a C*-algebra $B$ satisfying the ideal intersection property plus a mild axiom (INV), then the map $J\mapsto J\cap A$ establishes an isomorphism from the boolean algebra of all regular ideals of $B$ to the boolean algebra of all regular, invariant ideals of $A$.
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。
