Centrally trivial automorphisms and an analogue of Connes ’ χ ( M ) for subfactors

  title={Centrally trivial automorphisms and an analogue of Connes ’ χ ( M ) for subfactors},
  author={Yasuyuki Kawahigashi},
  • Yasuyuki Kawahigashi
  • Published 1993
April, 1992 Abstract. We study a class of centrally trivial automorphisms for subfactors, and get an upper bound for the order of the group they make (modulo normalizers) in terms of the “dual” principal graph for AFD type II1 subfactors with trivial relative commutant, finite index and finite depth. We prove that this upper bound is attained for many known subfators. We also introduce χ(M,N) for subfactors N ⊂ M as the relative version of Connes’ invariant χ(M), and compute this group for many… CONTINUE READING
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