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Multi-Sided Braid Type Subfactors

Open Access article
 Printed: Jun 2001
  • Juliana Erlijman
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We generalise the two-sided construction of examples of pairs of subfactors of the hyperfinite II$_1$ factor $R$ in [E1]---which arise by considering unitary braid representations with certain properties---to multi-sided pairs. We show that the index for the multi-sided pair can be expressed as a power of that for the two-sided pair. This construction can be applied to the natural examples---where the braid representations are obtained in connection with the representation theory of Lie algebras of types $A$, $B$, $C$, $D$. We also compute the (first) relative commutants.
MSC Classifications: 46L37 show english descriptions Subfactors and their classification 46L37 - Subfactors and their classification

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