K-理论与充分群胚上的扭的同拓扑

IF 0.7 2区数学 Q2 MATHEMATICS Journal of Noncommutative Geometry Pub Date : 2021-02-08 DOI:10.4171/JNCG/399

Christian Bönicke

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引用次数: 3

摘要

本文研究了扭曲群胚C*-代数的K理论。证明了满足Baum–Connes猜想的充分群胚上的一个带系数的扭转的同伦论导致了相应扭转群胚C*-代数的K理论群之间的同构。该结果也在逆半群中得到了解释，并应用于广义Renault–Deaconu群胚和P-图代数。

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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K-theory and homotopies of twists on ample groupoids

This paper investigates the K-theory of twisted groupoid C*-algebras. It is shown that a homotopy of twists on an ample groupoid satisfying the Baum–Connes conjecture with coefficients gives rise to an isomorphism between the K-theory groups of the respective twisted groupoid C*-algebras. The results are also interpreted in an inverse semigroup setting and applied to generalized Renault–Deaconu groupoids and P-graph algebras.

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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.