Free entropy dimension in amalgamated free products

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

Research output: Contribution to journalArticle

23 Scopus citations

Abstract

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
Volume97
Issue number2
DOIs
Publication statusPublished - Sep 2008

    Fingerprint

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this