JournalsprimsVol. 30, No. 6pp. 1139–1144

An Estimate of the Depth from an Intermediate Subfactor

  • Jerzy Wierzbicki

    Hokkaido University, Sapporo, Japan
An Estimate of the Depth from an Intermediate Subfactor cover
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Abstract

We show that for a triple K ⊂ N ⊂ M of type II1 factors the depth of the inclusion "K ⊂ M" is not greater than the maximum of depths of the inclusions "K ⊂ N" and "N ⊂ M" provided there is such a factor P, that the diagram P ⊂ M ∪ ∪ K ⊂ N is commuting and co-commuting square (or a non-degenerate commuting square) of type II1 factors.

Cite this article

Jerzy Wierzbicki, An Estimate of the Depth from an Intermediate Subfactor. Publ. Res. Inst. Math. Sci. 30 (1994), no. 6, pp. 1139–1144

DOI 10.2977/PRIMS/1195164950