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Multi-Sided Braid Type Subfactors |
Canad. J. Math. 53(2001), 546-564
Published:2001-06-01
Printed: Jun 2001
Printed: Jun 2001
- Juliana Erlijman
Abstract
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 - Subfactors and their classification |