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arXiv 1702.02269math.KTmath.ATmath.MG
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多项式可缩群的Banach强Novikov猜想

Banach strong Novikov conjecture for polynomially contractible groups

Alexander Engel

备注：
v3: minor corrections, final version, to appear in Adv. Math. v2: corrected an error in the previous version (Lemma 2.9 in v1 had an erroneous proof) which led to a weakening of the main result
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摘要：

证明了具有多项式有界高阶组合函数的群的Banach强Novikov猜想。这包括所有自动组。

英文摘要：

We prove the Banach strong Novikov conjecture for groups having polynomially bounded higher-order combinatorial functions. This includes all automatic groups.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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