Aspects of noncommutative geometry of Bunce–Deddens algebras

IF 0.7 2区数学 Q2 MATHEMATICS

Journal of Noncommutative Geometry Pub Date : 2023-09-13 DOI:10.4171/jncg/521

Slawomir Klimek, Matt McBride, J. Wilson Peoples

引用次数: 0

Abstract

We define and study smooth subalgebras of Bunce–Deddens C∗-algebras. We discuss various aspects of noncommutative geometry of Bunce–Deddens algebras including derivations on smooth subalgebras, as well as $K$-theory and $K$-homology.

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Bunce-Deddens代数非交换几何的几个方面

定义并研究了Bunce-Deddens C * -代数的光滑子代数。讨论了Bunce-Deddens代数非交换几何的各个方面，包括光滑子代数上的导数，以及$K$-理论和$K$-同调。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Noncommutative Geometry 数学-数学

CiteScore

1.60

自引率

11.10%

发文量

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.