%0 Journal Article
%T A Note on Bimodules and $II_1$-Subfactors
%A R. Schaflitzel
%J Mathematics
%D 1997
%I arXiv
%X A brief introduction into bimodules of $II_1$-factors is presented. Furthermore a version of the following result due to M. Pimsner and S. Popa is derived: Let $N=M_{-1}\subset M=M_0 \subset M_1 \subset M_2 \subset \ldots$ denote the Jones tower of a $II_1$-factor $N\subset M$ with finite index. Then the factor obtained by the basic construction from the pair $N\subset M_{n-1}$ is equal to $M_{2n-1}$.
%U http://arxiv.org/abs/funct-an/9701006v1