Localizing subcategories in the bootstrap category of filtered   C*-algebras
  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. 
George Nadareishvili
math.OA math.CT math.KT