The K-homology of 2-dimensional Crystallographic Groups
K-Theory and Homology
2022-03-02 v2
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.
Keywords
Cite
@article{arxiv.2112.12995,
title = {The K-homology of 2-dimensional Crystallographic Groups},
author = {Hang Wang and Xiufeng Yao},
journal= {arXiv preprint arXiv:2112.12995},
year = {2022}
}