Proceedings Mathematical Sciences | |
On Pimsner-Popa bases | |
Keshab Chandra Bakshi1  | |
[1] The Institute of Mathematical Sciences, Taramani, Chennai 00 , India$$ | |
关键词: Subfactor; basic construction; connected inclusion; Pimsner-Popa bases.; | |
DOI : | |
学科分类:数学(综合) | |
来源: Indian Academy of Sciences | |
【 摘 要 】
In this paper, we examine bases for finite index inclusion of ${m II}_1$ factors and connected inclusion of finite dimensional $C^ast$-algebras. These bases behave nicely with respect to basic construction towers. As applications we have studied automorphisms of the hyperfinite ${m II}_1$ factor $R$ which are ‘compatible with respect to the Jones’ tower of finite dimensional $C^ast$-algebras’. As a further application, in both cases we obtain a characterization, in terms of bases, of basic constructions. Finally we use these bases to describe the phenomenon of multistep basic constructions (in both the cases).
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912040507221ZK.pdf | 3070KB | download |