2024-03-28T11:19:14Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/690712022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Normal intermediate subfactorsTeruya, T.open access410Let N C M be an irreducible inclusion of type type 111 factors with finite Jones index. We shall introduce the notion of normality for intermediate subfactors of the inclusion N C M. If the depth of N C M is 2, then an intermediate subfactor K for N C M is normal in N C M if and only if the depths of N C K and K C M are both 2. In particular, if M is the crossed product N ><l G of a finite group G, then K = N ><l His normal in NC M if and only if His a normal subgroup of G.Department of Mathematics, Hokkaido University1995-12-01engdepartmental bulletin paperVoRhttps://doi.org/10.14943/83467http://hdl.handle.net/2115/6907110.14943/83467Hokkaido University Preprint Series in Mathematics320144https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69071/1/pre320.pdfapplication/pdf1.43 MB1995-12-01