2015/04/01 by Bakshi, Keshab Chandra
#46L37 #FOS: Mathematics #Operator Algebras (math.OA)
paper · doi:10.48550/arxiv.1504.00103
In this paper we examine bases for finite index inclusion of II1 factors and connected inclusion of finite dimensional C^*- algebras. These bases behave nicely with respect to basic construction towers. As applications we have studied automorphisms of the hyperfinite II1 factor R which are `compatible with respect to the Jones' tower of finite dimensional C^*-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).