A hyperfinite inequality for free entropy dimension

Details A hyperfinite inequality for free entropy dimension A hyperfinite inequality for free entropy dimension

2003-08-28

arxiv.org/abs/math/0308271v2

Mathematics

Operator Algebras

9 pages, added section and corollary

Scientific paper

If $X, Y,$ and $Z$ are finite sets of selfadjoint elements in a tracial von
Neumann algebra and $X$ generates a hyperfinite von Neumann algebra, then
$\delta_0(X \cup Y \cup Z) \leq \delta_0(X \cup Y) + \delta_0(X \cup Z) -
\delta_0(X).$ We draw several corollaries from this inequality.

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