关于Gromov怪物群的Baum-Connes猜想

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。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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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