On Pimsner-Popa bases

Proceedings Mathematical Sciences

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