Rapid decay and Baum-Connes for large type Artin groups
Group Theory
2014-08-15 v4 Functional Analysis
Abstract
We prove that many Artin groups of large type satisfy the rapid decay property, including all those of extra-large type. For many of these, including all 3-generator groups of extra-large type, a result of Lafforgue applies to show that the groups satisfy the Baum-Connes conjecture without coefficients. Our proof of rapid decay combines elementary analysis with combinatorial techniques, and relies on properties of geodesic words in Artin groups of large type that were observed in an earlier publication by two of the authors of this current article.
Cite
@article{arxiv.1203.1198,
title = {Rapid decay and Baum-Connes for large type Artin groups},
author = {Laura Ciobanu and Derek F Holt and Sarah Rees},
journal= {arXiv preprint arXiv:1203.1198},
year = {2014}
}