Any generating set of an arbitrary property T von Neumann algebra has free entropy dimension ≤ 1
نویسندگان
چکیده
منابع مشابه
The Free Entropy Dimension of Hyperfinite Von Neumann Algebras
ABSTRACT. Suppose M is a hyperfinite von Neumann algebra with a tracial state φ and {a1, . . . , an} is a set of self-adjoint generators for M. We calculate δ0(a1, . . . , an), the modified free entropy dimension of {a1, . . . , an}. Moreover we show that δ0(a1, . . . , an) depends only on M and φ. Consequently δ0(a1, . . . , an) is independent of the choice of generators for M . In the course ...
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ژورنال
عنوان ژورنال: Journal of Noncommutative Geometry
سال: 2007
ISSN: 1661-6952
DOI: 10.4171/jncg/7