科研之友
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摘要
A hyperfinite II1 subfactor may be obtained from a symmetric commuting square via iteration of the basic construction. For certain commuting squares constructed from Hadamard matrices, we describe this subfactor as a group-type inclusion R-H subset of R x K, where H and K are finite groups with outer actions on the hyperfinite II1 factor R. We find the group of outer auto-morphisms generated by H and K and use the method of Bisch and Haagerup to determine the principal and dual principal graphs. In some cases a complete classification is obtained by examining the element of H-3(H * K/IntR) associated with the action.
- 出版日期2015-10
