Irreducible subfactors from some symmetric graphs (Q1318027)

We construct a new series of indices for irreducible subfactors of the hyperfinite \(\text{II}_ 1\)-factor by using Haagerup-Schou's criterion for symmetric commuting squares of finite dimensional von Neumann algebras. Especially, we construct a biunitary connection on some symmetric graphs and the square of the norms of these graphs give the values of the indices. And the indices start from the value of the case \(N=2\) of Sunder's series and accumulate in the interval (6,6.25). And the accumulation points accumulate at 6.25.