JournalsjncgVol. 13, No. 4pp. 1209–1233

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
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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)(n + 1)gon, where nn 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