THE AMALGAMATED FREE PRODUCT OF HYPERFINITE VON NEUMANN ALGEBRAS OVER FINITE DIMENSIONAL SUBALGEBRAS
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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.
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Dykema, K. J., & Redelmeier, D.
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Dykema, Kenneth J||Redelmeier, Daniel
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Amalgamated Free Product
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Hyperfinite Von Neumann Algebras
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