|
Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >
Lattices of intermediate subfactors
| Title: | Lattices of intermediate subfactors |
| Authors: | Watatani, Yasuo Browse this author |
| Issue Date: | Jun-1992 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 153 |
| Start Page: | 1 |
| End Page: | 33 |
| Abstract: | Let N be a irreducible subfactor of a type I factor M. If Jones index [M:NJ is finite, then the set fa.t(NcM) of the intermediate subfactors for the inclusion N c M form a finite lattice. The (co-) commuting square conditions for intermediate subfactors are related with the modular identity in the lattice fai(NcN). In particular simplicity of a finite group G is characterized in terms of (co-) commuting square conditions of intermediate subfactors for N c M = N ><I G. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/68899 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
|
Submitter: 数学紀要登録作業用
|
