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Bibliographic Details
Main Authors: Saldaña, Luis Jorge Sánchez, Velásquez, Mario
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2410.09263
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Table of Contents:
  • We provide an explicit computation of the topological $K$-theory groups $K_*(C_r^*(\mathbb{Z}^n\rtimes \mathbb{Z}/m))$ of semidirect products of the form $\mathbb{Z}^n\rtimes \mathbb{Z}Z/m$ with $m$ square-free. We want to highlight the fact that we are not impossing any conditions on the $\Z/m$-action on $\mathbb{Z}^n$. This generalizes previous computations of Lück-Davis and Langer-Lück.