Cohomology for finite index inclusions of factors Academic Article uri icon

abstract

  • If N ⊆ M is an inclusion of type II1 factors of finite index on a separable Hilbert space, and if N has a Cartan subalgebra then we show that Hn(N, M) = 0 for n ≥ 1. We also show that Hncb(N, M) = 0, n ≥ 1, for an arbitrary finite index inclusion N ⊆ M of von Neumann algebras.

author list (cited authors)

  • Sinclair, A. M., & Smith, R. R.

complete list of authors

  • Sinclair, AM||Smith, RR

publication date

  • September 2000