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arXiv · 1602.00407

Localizing subcategories in the bootstrap category of filtered C*-algebras

George Nadareishvili
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Abstract

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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George Nadareishvili. 2016-02-01. Localizing subcategories in the bootstrap category of filtered C*-algebras. https://arxiv.org/abs/1602.00407

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