A description of amalgamated free products of finite von Neumann algebras over finitedimensional subalgebras Academic Article uri icon


  • We show that a free product of a II1-factor and a finite von Neumann algebra with amalgamation over a finite-dimensional subalgebra is always a II1-factor, and provide an algorithm for describing it in terms of free products (with amalgamation over the scalars) and compression/dilation. As an application, we show that the class of direct sums of finitely many von Neumann algebras that are interpolated free group factors, hyperfinite II 1-factors, type In algebras for n finite and finite-dimensional algebras, is closed under taking free products with amalgamation over finite-dimensional subalgebras. 2010 London Mathematical Society.

published proceedings

  • Bulletin of the London Mathematical Society

author list (cited authors)

  • Dykema, K.

citation count

  • 7

complete list of authors

  • Dykema, Ken

publication date

  • February 2011