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

abstract

• 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.

authors

• Dykema, Kenneth

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

publisher

• Wiley  Publisher

published in

• Bulletin of the London Mathematical Society  Journal

keywords

• 49 Mathematical Sciences
• 4902 Mathematical Physics
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1112/blms/bdq079

start page

• 63

end page

• 74

volume

• 43

issue

• 1

URL

• http://dx.doi.org/10.1112/blms/bdq079