A free entropy dimension lemma
By Kenley Jung. 2002
48 citations recorded by the source corpus.
Suppose M is a von Neumann algebra with normal, tracial state φ and {a 1 ,..., a n } is a set of self-adjoint elements in M. We provide an alternative uniform packing description of δ 0 (a 1 ,..., an), the modified free entropy dimension of {a 1 ,..., a n }.
View Paper: https://www.semanticscholar.org/paper/01880ef744f529e1e65386a8eed5f5afaa43d9b6
How researchers see this paper
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- Sorin Popa
- N. Brown
- K. Dykema
- J. Peterson
- Kenley Jung
- Nathanial P. Brown Narutaka Ozawa
- Adrian Ioana
- S. Vaes
Citations in the corpus
- Free entropy dimension in amalgamated free products (2006, background): “Finally, by [18], the free entropy dimension of X is”
- On Ozawa's Property for Free Group Factors (2006, methodology): “ cover also the primeness of all free products of diffuse finite von Neumann algebras and of all non-amenable subfactors of LFn. Both Ozawa’s insight, the use of free entropy yechniques in ([G], [GSh], [J1,2]) and Peterson’s new approach are conceptually and technically involved, and aim at showing th”
- Strongly 1-Bounded Von Neumann Algebras (2005, methodology): “Recall that cutoff constants for the operator norm were used in the definition ofKǫ(F ) andPǫ(F ) and thatǫ quantitiesKǫ,R(F ) andPǫ,R(F ) were introduced in [8] where the microstates spaces have cutoff constants.”