THE AMALGAMATED FREE PRODUCT OF HYPERFINITE VON NEUMANN ALGEBRAS OVER FINITE DIMENSIONAL SUBALGEBRAS Academic Article uri icon

abstract

  • In this paper we describe the amalgamated free product of two hyperfinite von Neumann algebras over a finite dimensional subalgebra. In general the free product is of the form HNi=1 Fi where F i are interpolated free group factors and H is a hyperfinite von Neumann algebra. We then show that the class of von Neumann algebras of this form is closed under taking amalgamated free products over finite dimensional subalgebras. © 2013 University of Houston.

author list (cited authors)

  • Dykema, K. J., & Redelmeier, D.

complete list of authors

  • Dykema, Kenneth J||Redelmeier, Daniel

publication date

  • December 2013