The quantitative coarse Baum-Connes conjecture for free products

Fuente: arXiv
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Main Authors: Deng, Jintao, Toyota, Ryo
Format: Preprint
Published: 2026
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_version_ 1866909015958618112
author Deng, Jintao
Toyota, Ryo
author_facet Deng, Jintao
Toyota, Ryo
contents Let $G$ and $H$ be finitely generated groups. In this paper, we prove the quantitative coarse Baum--Connes conjecture for the free product $G* H$ under the assumption that the conjecture holds for both $G$ and $H$.
format Preprint
id arxiv_https___arxiv_org_abs_2604_15154
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The quantitative coarse Baum-Connes conjecture for free products
Deng, Jintao
Toyota, Ryo
Operator Algebras
Group Theory
K-Theory and Homology
46L80, 19K35, 46L45
Let $G$ and $H$ be finitely generated groups. In this paper, we prove the quantitative coarse Baum--Connes conjecture for the free product $G* H$ under the assumption that the conjecture holds for both $G$ and $H$.
title The quantitative coarse Baum-Connes conjecture for free products
topic Operator Algebras
Group Theory
K-Theory and Homology
46L80, 19K35, 46L45
url https://arxiv.org/abs/2604.15154