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 [Formula: see text]-theoretic isomorphisms between the maximal and reduced equivariant Roe algebras. We also extend these results to prove the Baum–Connes conjecture in this context.

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Publication Details

Journal
Journal of Topology and Analysis
Published
2026-04-10
DOI
https://doi.org/10.1142/s1793525326500317
Primary Topic
Advanced Operator Algebra Research
Type
article
Field-Weighted Citation Impact
0.00

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article

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

Xiufeng Yao, Liang Guo, Hang Wang
Journal of Topology and Analysis
Advanced Operator Algebra Research
article

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

Xiufeng Yao, Liang Guo, Hang Wang
article en

Abstract

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

Journal of Topology and Analysis
Fudan University (CN), East China Normal University (CN)
National Natural Science Foundation of China, China Postdoctoral Science Foundation, Science and Technology Commission of Shanghai Municipality
Openalex Percentile: Top 22%
Advanced Operator Algebra Research
DOISourceOpenAlex
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