滤子C* 代数的bootstrap范畴的局部化子范畴
Localizing subcategories in the bootstrap category of filtered C*-algebras
摘要:
我们利用滤子C* 代数的Bootstrap范畴的阿贝尔近似定义了其对象的支撑的合理概念。因此,我们提供了一个完整的分类的局部化子类的产品格的非交叉分区的定期$(n+1)$ -边形,其中$n$是理想的过滤。
英文摘要:
We use the abelian approximation for the bootstrap category of filtered C*-algebras to define a sensible notion of support for its objects. As a consequence, we provide a full classification of localizing subcategories in terms of a product of lattices of noncrossing partitions of a regular $(n+1)$-gon, where $n$ is the number of ideals in the filtration.
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