A hyperfinite inequality for free entropy dimension

Kenley Jung

A hyperfinite inequality for free entropy dimension

Operator Algebras 2007-05-23 v2

Authors: Kenley Jung

Abstract

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.

Keywords

von neumann algebras

Cite

@article{arxiv.math/0308271,
  title  = {A hyperfinite inequality for free entropy dimension},
  author = {Kenley Jung},
  journal= {arXiv preprint arXiv:math/0308271},
  year   = {2007}
}

Comments

9 pages, added section and corollary

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