THE INDEX FOR THE TYPE III FACTORS ${\mathcal{W}}^*({\mathcal{R}}_G)$

References

1. Coxeter Graphs and Towers of Algebras F.M.Goodman;P.de la Harpe;V.F.R.Jones
2. J. Funct. Anal. v.66 Extension of Jones' Theory on Index to Arbitrary Factors H.Kosaki
3. INvent math. v.72 Index for subfactors V.F.R.Jones
4. Full factors with non integer index H.Choda
5. Comm.Math.Phys. v.126 Index for subfactors and statistics of quantum fields Ⅰ Longo
6. J. Funct. anal. v.35 Spatial theory of von Neumann algebras connes
7. J.Funct.Anal. v.32 no.33 , Operator-valued weights in von Neumann algebras Ⅰ,Ⅱ U.Haagerup
8. Tohoku math.J v.6 Conditional expectation in an operator algebra Ⅰ Umegaki
9. Notes on the Factor $W\ast$($R_G$ over the Hilbert space Dongseo Kim;Changho Byum