Mathematics – Operator Algebras
Scientific paper
2002-04-23
Rev.Math.Phys. 14 (2002) 709-732
Mathematics
Operator Algebras
23 pages
Scientific paper
10.1142/S0129055X02001351
Modular invariants satisfy remarkable fusion rules. Let $Z$ be a modular
invariant associated to a braided subfactor $N\subset M$. The decomposition of
the non-normalized modular invariants $Z Z^{*}$ and $Z^{*}Z$ into sums of
normalized modular invariants is related to the decomposition of the full
induced $M-M$ system of sectors.
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