Kodiyalam, Vijay ; Sunder, V. S. (2000) The subgroup-subfactor Mathematica Scandinavica, 86 (1). pp. 45-74. ISSN 0025-5521
![]()
|
PDF
- Author Version
253kB |
Official URL: http://dialnet.unirioja.es/servlet/articulo?codigo...
Abstract
In this paper, we compute the standard invariant of the 'subgroup-subfactor' P×α|HH⊂P×αG, where α denotes an outer action of a finite group G on a II1 factor P, and P×α|HH denotes the obvi- ous crossed-product obtained by restricting the action to H. We then use this description to exhibit a pair of non-isomorphic subgroups Hi, i=1, 2, of the symmetric group S4 such that the subfactors R×α|Hi Hi⊂P×α G, i=1, 2 are conjugate, thereby disproving a conjecture of Thomsen-see [9]-that 'the subgroup-subfactor re- members the subgroup' (provided the subgroup contains no non-trivial normal subgroup of the ambient group).
Item Type: | Article |
---|---|
Source: | Copyright of this article belongs to Mathematica Scandinavica. |
ID Code: | 53554 |
Deposited On: | 09 Aug 2011 11:51 |
Last Modified: | 18 May 2016 06:38 |
Repository Staff Only: item control page