The K-homology of 2-dimensional Crystallographic Groups

2021/12/24 by Hang Wang, Wang, Hang, Xiufeng Yao +1
Computer Science · Mathematics · Medicine · #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Ophthalmology and Eye Disorders #Topological and Geometric Data Analysis #math.KT

paper · pdf · doi:10.48550/arxiv.2112.12995

openalex publication_date 2021/12/24 · arxiv created 2022/03/01 · arxiv updated 2022/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we compute the topological K-homology of 2-dimensional crystal groups. Our method focuses on the fixed point of group action and simplifies the calculation of the K-homology of universal space. The result also verifies the Baum-Connes Conjecture of 2-dimensional crystal groups.

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