On Certain Free Product Factors via an Extended Matrix Model

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On Certain Free Product Factors via an Extended Matrix Model

A random matrix model for freeness is extended and used to investigate free products of free group factors with matrix algebras and with the hyperfinite II1–factor. The latter is shown to be isomorphic to a free group factor having one additional generator. Introduction. The finite von Neumann algebra L(G) associated to a discrete group G was introduced by Murray and von Neumann [5]. It is the ...

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ژورنال

عنوان ژورنال: Journal of Functional Analysis

سال: 1993

ISSN: 0022-1236

DOI: 10.1006/jfan.1993.1025