INTERPOLATED FREE GROUP FACTORS

Authors
DYKEMA K
Citation
K. Dykema, INTERPOLATED FREE GROUP FACTORS, Pacific journal of mathematics, 163(1), 1994, pp. 123-135
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Pacific journal of mathematics → ACNP
ISSN journal
00308730
Volume
163
Issue
1
Year of publication
1994
Pages
123 - 135
Database
ISI
SICI code
0030-8730(1994)163:1<123:IFGF>2.0.ZU;2-B
Abstract
The interpolated free group factors L(F-r) for 1 < r less than or equa l to infinity (also defined by F. Radulescu) are given another (but eq uivalent) definition as well as proofs of their properties with respec t to compression by projections and free products. In order to prove t he addition formula for free products, algebraic techniques are develo ped which allow us to show R R congruent to L(F-2) where R is the hy perfinite II1-factor.