Free entropy dimension in amalgamated free products Academic Article

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. 2008 London Mathematical Society.

authors

• Dykema, Kenneth

published proceedings

• PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY

author list (cited authors)

• Brown, N. P., Dykema, K. J., & Jung, K.

citation count

• 26

complete list of authors

• Brown, Nathanial P||Dykema, Kenneth J||Jung, Kenley

publication date

• September 2008

publisher

• Wiley  Publisher

published in

• Proceedings of the London Mathematical Society  Journal

keywords

• 49 Mathematical Sciences
• 4902 Mathematical Physics
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1112/plms/pdm054

start page

• 339

end page

• 367

volume

• 97

issue

• 2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1112%2Fplms%2Fpdm054