The Cuntz semigroup of unital commutative AI-algebras

被引：1
|
作者：
Vilalta, Eduard [1 ]
机构：
[1] Univ Autonoma Barcelona, Dept Matematiques, Bellaterra, Spain
来源：
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2023年 / 75卷 / 06期
关键词：
C-*-algebras; Cuntz semigroups; AI-algebras; CLASSIFICATION;
D O I：
10.4153/S0008414X22000542
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We provide an abstract characterization for the Cuntz semigroup of unital commutative AI-algebras, as well as a characterization for abstract Cuntz semigroups of the form Lsc (overline N) for some T-1-space X. In our investigations, we also uncover new properties that the Cuntz semigroup of all AI-algebras satisfies.
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页码：1831 / 1868
页数：38
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