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

### George Nadareishvili

Universität Göttingen, Germany

## 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.

## Cite this article

George Nadareishvili, Localizing subcategories in the bootstrap category of filtered C*-algebras. J. Noncommut. Geom. 13 (2019), no. 4, pp. 1209–1233

DOI 10.4171/JNCG/354