摘要
证明了Voiculescu维数vdim(G↓X)在正合列下是次可加的,同时对可数顺从群G建立了vdim(G↓X)和von Neumann维数dim_(G)(Y)之间的联系,推广了Voiculescu相关的结果。
It is proved that the Voiculescu dimension vdim(G↓X)is subadditive under exact sequences.Meanwhile the connection is established between vdim(G↓X)and the von Neumann dimension dim_(G )(Y)for countable amenable group G.These generalize the related results of Voiculescu.
作者
荣祯
RONG Zhen(College of Statistics and Mathematics,Inner Mongolia University of Finance and Economics,Hohhot 010070,China)
出处
《内蒙古大学学报（自然科学版）》
CAS
2024年第2期113-121,共9页
Journal of Inner Mongolia University：Natural Science Edition
基金
国家自然科学基金项目(12261063)
内蒙古自治区高等学校科学研究项目(NJZY22328)。
