2024-03-28T22:12:57Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/689502022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116An estimation of the depth from an intermediate subfactorWierzbicki, Jerzy410Jerzy vVierzbicki Abstract. vVe show that for a triple I{ C N C M of type II1 factors the depth of the inclusion "K C M" is not greater than the maximum of depths of the inclusions" K C N" and" N CM", provided there is such a factor P, that the P C lvl diagram U U is commuting and co-commuting square ( or a non-degenerate K C N commuting square) oftype II1 factors. vVe give also a characterization of the above condition.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/68950info:doi/10.14943/83348https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/68950/1/pre204.pdfHokkaido University Preprint Series in Mathematics204171993-06engpublisher