arXiv subjects

Xiufeng Yao

Publications and source records attributed to Xiufeng Yao.

2 recordsLinked to original sources

arXiv2026

The K-theory of maximal and reduced Roe algebras for Hecke pairs with equivariant coarse embeddings

In this paper, we generalize the Dirac-dual-Dirac method to Hecke pairs with equivariant coarse embeddings and establish the K-theoretic isomorphisms between the maximal and reduced equivariant Roe algebras. We also extend these results to prove the Baum--Connes conjecture in this context.

math.KT↗

arXiv2022

The K-homology of 2-dimensional Crystallographic Groups

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.

math.KT↗