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

被引：0

作者：

Nadareishvili, George ^{[1
]}

机构：

[1] Univ Gottingen, Dept Math, Bunsenstr 3-5, D-37073 Gottingen, Germany

来源：

JOURNAL OF NONCOMMUTATIVE GEOMETRY | 2019年 / 13卷 / 04期

关键词：

C*-algebra; Kasparov category; homological algebra; triangulated category; non-commutative topology; filtrations of C*-algebras; C*-algebras over a topological space; localizing subcategory; Bivariant K-theory; Filtrated K-theory; relative homological algebra; bootstrap class; KK-theory; TOPOLOGICAL-SPACES;

D O I：

10.4171/JNCG/354

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1209 / 1233

页数：25

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