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K-theory and homotopies of twists on ample groupoids
Journal of Noncommutative Geometry ( IF 0.9 ) Pub Date : 2021-02-08 , DOI: 10.4171/jncg/399
Christian Bönicke 1
Affiliation  

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.

中文翻译:

K理论和充足群群的扭曲同伦

本文研究了扭曲的类群C *-代数的K理论。结果表明,在满足Baum-Connes猜想且系数系数足够的类群上的扭曲同伦性导致了各个扭曲类群C *-代数的K理论群之间的同构。结果也将在逆半群环境中进行解释,并应用于广义的雷诺-Deaconu群和$ P $-图代数。
更新日期:2021-02-08
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