可数sofic群的等距线性作用的维数
Dimension for Isometric Linear Actions of Countable Sofic Groups
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.
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.
sofic群 / 顺从群 / Voiculescu维数 {{custom_keyword}} /
sofic group / amenable group / Voiculescu dimension {{custom_keyword}} /
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