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.
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页码：1209 / 1233
页数：25
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