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Rapid decay and Baum-Connes for large type Artin groups
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Ciobanu, Laura, Holt, Derek F. and Rees, Sarah (2015) Rapid decay and Baum-Connes for large type Artin groups. Transactions of the American Mathematical Society, 368 (9). pp. 6103-6129. doi:10.1090/tran/6532 ISSN 0002-9947.
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Official URL: http://dx.doi.org/10.1090/tran/6532
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 earlier work by two of the authors of this current article.
Item Type: | Journal Article | ||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Journal or Publication Title: | Transactions of the American Mathematical Society | ||||||||
Publisher: | American Mathematical Society | ||||||||
ISSN: | 0002-9947 | ||||||||
Official Date: | 16 November 2015 | ||||||||
Dates: |
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Volume: | 368 | ||||||||
Number: | 9 | ||||||||
Page Range: | pp. 6103-6129 | ||||||||
DOI: | 10.1090/tran/6532 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access |
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