2012•arXiv (Cornell University)Open access
The amalgamated free product of semifinite hyperfinite von Neumann\n algebras over atomic type I subalgebras
Daniel Redelmeier
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Abstract
In this paper we describe the amalgamated free product of finite and\nsemifinite hyperfinite von Neumann algebras over atomic type I subalgebras. To\ndo this we extend the notions of free dimension and standard embeddings used in\nthe related results for finite von Neumann algebras to ones which work better\nfor the semifinite case. We also define classes R3 (of finite von Neumann\nalgebras) and R4 (of semifinite von Neumann algebras) which are closed under\nsuch amalgamated free products.\n
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