核具有无理维数的有理群环元
Rational group ring elements with kernels having irrational dimension
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.
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