A simple numerical argument is given that the minimal (Jones) index of a subfactor \(N \subset M\) is strongly restricted if for \(L \subset N\) with the same index, the subfactor \(L \subset M\) contains a sector with index from the Jones series \(4 \cos ^{2} \pi / m\). E.g.. \(N \subset M\) might
On Automorphisms of Subfactors
โ Scribed by Phan H. Loi
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 694 KB
- Volume
- 141
- Category
- Article
- ISSN
- 0022-1236
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โฆ Synopsis
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 type III * subfactors of the same index of the Powers factor R * , for 0<*<1, such that the principal graph of the corresponding type II 1 inclusion is of one of the types mentioned above.
๐ SIMILAR VOLUMES
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
A be a connected algebra with a graded algebra endomor- The trace of is defined to be Tr , t s ร tr ยฌ A t . We prove that Tr , t is a rational function if A is either finitely generated commutative or right noetherian with finite global dimension or regular. A version of Molien's theorem follows i
Given a locally finite partially ordered set, X, a ring with identity, R, and an automorphism, , of the incidence algebra of X over R, it is determined when is the composite of an inner automorphism, an automorphism of X, and an induced automorphism of R.
In this paper we show theorems concerning automorphisms of models of Peano Arithmetic. These results were obtained by KOTLARSKI [ 2 ] , 5 4 (as K~TLARSKI informed the author, at least part of these results were obtained by ALENA VENCOVSKA (unpublished) and CRAIG SMORYNSKI [4]). KoTLARbKI asked the a