关于Gromov怪物群的Baum-Connes猜想

arXiv: K-Theory and Homology Pub Date : 2014-01-27 DOI:10.4171/JNCG/231

Martin Finn-Sell

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引用次数: 3

摘要

利用Khoskham和Skandalis的一个定理，给出了Gromov怪物群的带系数的Baum-Connes猜想的一个几何方法。其次，我们利用最近关于大周长展开机在无穷远处的a- t可通性的结果，给出了一个具有Baum-Connes猜想同构的Gromov怪物群的系数族。

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On the Baum-Connes conjecture for Gromov monster groups

We present a geometric approach to the Baum-Connes conjecture with coefficients for Gromov monster groups via a theorem of Khoskham and Skandalis. Secondly, we use recent results concerning the a-T-menability at infinity of large girth expanders to exhibit a family of coefficients for a Gromov monster group for which the Baum-Connes conjecture is an isomorphism.

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arXiv: K-Theory and Homology

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