Free entropy dimension in amalgamated free products

Nathanial P. Brown, Kenneth J. Dykema, Kenley Jung, Wolfgang Lück

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)339-367
Number of pages29
JournalProceedings of the London Mathematical Society
Issue number2
StatePublished - Sep 2008

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


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