A Note on Bimodules and $II_1$-Subfactors

Details A Note on Bimodules and $II_1$-Subfactors A Note on Bimodules and $II_1$-Subfactors

1997-01-22

arxiv.org/abs/funct-an/9701006v1

Mathematics

Operator Algebras

15 pages, latex, no figures

Scientific paper

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 $M_{2n-1}$.

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