Strongly singular masas in type II1 factors Academic Article uri icon

abstract

  • In this paper we introduce and study strongly singular maximal abelian self-adjoint subalgebras of type II1 factors. We show that certain elements of free groups and of non-elementary hyperbolic groups generate such masas, and these also give new examples of masas for which Popa's invariant δ(·) is 1. We also explore the connection between Popa's invariant and strong singularity.

author list (cited authors)

  • Sinclair, A. M., & Smith, R. R.

citation count

  • 13

complete list of authors

  • Sinclair, AM||Smith, RR

publication date

  • May 2002