Free entropy dimension in amalgamated free products
By N. Brown, K. Dykema, Kenley Jung. 2006
66 citations recorded by the source corpus.
We calculate the microstates free entropy dimension of natural generators in an amalgamated free product of certain von Neumann algebras, with amalgamation over a hyperfinite subalgebra. In particular, some ‘exotic’ Popa algebra generators of free group factors are shown to have the expected free entropy dimension. We also show that microstates and non‐microstates free entropy dimension agree for generating sets of many groups. In the appendix, the first L2‐Betti number for certain amalgamated free products of groups is calculated.
Subfields: Mathematical Physics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/3244e95e0dff93323517366de891eaf565d27564
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In Mathematical Physics
In Statistics and Probability
Citations in the corpus
- Group cocycles and the ring of affiliated operators (2007, background): “For example, from Appendix A of [11] we see that the inequality in (4) is actually an equality in the case where β((2)) 1 (C) = 0.”