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arXiv 0909.2360math.GRmath.DSmath.GTmath.OA
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核具有无理维数的有理群环元

Rational group ring elements with kernels having irrational dimension

Tim Austin

摘要:

我们证明了有有限生成群G与群环元素Q \in \bbQ G的冯诺依曼维数\dim_{LG} \ker Q是不合理的,所以(结合其他已知的结果)回答一个问题的Atiyah。

英文摘要:

We prove that there are examples of finitely generated groups G together with group ring elements Q \in \bbQ G for which the von Neumann dimension \dim_{LG}\ker Q is irrational, so (in conjunction with other known results) answering a question of Atiyah.

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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