𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Simple injective subfactors

✍ Scribed by Roberto Longo


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
993 KB
Volume
63
Category
Article
ISSN
0001-8708

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On injective hulls of simple modules
✍ Y. Hirano πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 537 KB

We characterize a ring over which every left module of finite length has an injective hull of finite length. Using this, we show that finite normalizing extensions of such a ring also have the same property. We also consider rings having the property that the injective hull of every simple module is

βˆ‘-injective modules
✍ IstvΓ€n Beck πŸ“‚ Article πŸ“… 1972 πŸ› Elsevier Science 🌐 English βš– 925 KB
Lattices of Intermediate Subfactors
✍ Yasuo Watatani πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 807 KB

Let N be an irreducible subfactor of a type II 1 factor M. If the Jones index [M : N] is finite, then the set Lat(N/M) of the intermediate subfactors for the inclusion N/M forms a finite lattice. The commuting and co-commuting square conditions for intermediate subfactors are related to the modular

On Automorphisms of Subfactors
✍ Phan H. Loi πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 694 KB

We classify, up to outer conjugacy, free actions of Z on an inclusion of hyperfinite type II 1 factors of finite index, of finite depth, and for which the principal graph is one of the following: A n , n 2, E 6 , E 8 , or a finite group. As a consequence, we obtain the classification of hyperfinite

Quantum Galois Correspondence for Subfac
✍ Yasuyuki Kawahigashi πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 153 KB

Ocneanu has obtained a certain type of quantized Galois correspondence for the Jones subfactors of type A n and his arguments are quite general. By making use of them in a more general context, we define a notion of a subequivalent paragroup and establish a bijective correspondence between generaliz