Generators in $\mathcal{Z}$-stable $C^*$-algebras of real rank zero
IF 0.7
2区 数学
Q2 MATHEMATICS
引用次数: 0
Abstract
We show that every separable C*-algebra of real rank zero that tensorially absorbs the Jiang-Su algebra contains a dense set of generators. It follows that in every classifiable, simple, nuclear C*-algebra, a generic element is a generator.$\mathcal{Z}$-stable $C^*$-实数0阶代数中的生成器
我们证明了每一个实秩为零的可分C*-代数，在张量上吸收江素代数，都包含一组稠密的生成元。因此，在每一个可分类的、简单的核C*-代数中，泛型元素都是生成器。
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来源期刊
CiteScore
1.60
自引率
11.10%
发文量
30
审稿时长
>12 weeks
期刊介绍：
The Journal of Noncommutative Geometry covers the noncommutative world in all its aspects. It is devoted to publication of research articles which represent major advances in the area of noncommutative geometry and its applications to other fields of mathematics and theoretical physics. Topics covered include in particular:
Hochschild and cyclic cohomology
K-theory and index theory
Measure theory and topology of noncommutative spaces, operator algebras
Spectral geometry of noncommutative spaces
Noncommutative algebraic geometry
Hopf algebras and quantum groups
Foliations, groupoids, stacks, gerbes
Deformations and quantization
Noncommutative spaces in number theory and arithmetic geometry
Noncommutative geometry in physics: QFT, renormalization, gauge theory, string theory, gravity, mirror symmetry, solid state physics, statistical mechanics.
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