Localizing subcategories in the bootstrap category of filtered C*-algebras
George Nadareishvili
Universität Göttingen, Germany
![Localizing subcategories in the bootstrap category of filtered C*-algebras cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jncg-volume-13-issue-4.png&w=3840&q=90)
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 gon, where 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