| 可数sofic群的等距线性作用的维数 |
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| 引用本文： | 荣祯.可数sofic群的等距线性作用的维数[J].数学学报,1936,63(5):465-488. |
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| 作者姓名： | 荣祯 |
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| 作者单位： | 内蒙古财经大学统计与数学学院 呼和浩特 010070 |
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| 摘 要： | 我们对复Banach空间上的可数sofic群的等距线性作用提出了一种新的维数，推广了复Banach空间上的可数顺从群的等距线性作用的Voiculescu维数，并且在可数sofic群的情形回答了Gromov的一个问题.
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Dimension for Isometric Linear Actions of Countable Sofic Groups |
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| Zhen RONG.Dimension for Isometric Linear Actions of Countable Sofic Groups[J].Acta Mathematica Sinica,1936,63(5):465-488. |
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| Authors: | Zhen RONG |
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| Affiliation: | College of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot 010070, P. R. China |
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| Abstract: | We introduce a new dimension for isometric linear actions of countable sofic groups on complex Banach spaces. This generalizes the Voiculescu dimension for isometric linear actions of countable amenable groups on complex Banach spaces, and answers a question of Gromov in the case of countable sofic groups. |
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| Keywords: | sofic group amenable group Voiculescu dimension |
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