STRONG SINGULARITY FOR SUBALGEBRAS OF FINITE FACTORS Academic Article uri icon

abstract

  • In this paper we develop the theory of strongly singular subalgebras of von Neumann algebras, begun in earlier work. We mainly examine the situation of type II1 factors arising from countable discrete groups. We give simple criteria for strong singularity, and use them to construct strongly singular subalgebras. We particularly focus on groups which act on geometric objects, where the underlying geometry leads to strong singularity.

published proceedings

  • International Journal of Mathematics

author list (cited authors)

  • ROBERTSON, G., SINCLAIR, A. M., & SMITH, R. R.

citation count

  • 11

complete list of authors

  • ROBERTSON, GUYAN||SINCLAIR, ALLAN M||SMITH, ROGER R

publication date

  • January 2003