The subgroup-subfactor

Kodiyalam, Vijay ; Sunder, V. S. (2000) The subgroup-subfactor Mathematica Scandinavica, 86 (1). pp. 45-74. ISSN 0025-5521

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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).

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ID Code:53554
Deposited On:09 Aug 2011 11:51
Last Modified:18 May 2016 06:38

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