We construct a one parameter family of ICC groups , with the property that the group factor is isomorphic to the interpolated free group factor , for all . Moreover, the groups have fixed cost , are strongly treeable and freely generate any treeable ergodic equivalence relation of same cost.
Cite this article
Sorin Popa, Dimitri L. Shlyakhtenko, Representing interpolated free group factors as group factors. Groups Geom. Dyn. 14 (2020), no. 3, pp. 837–855DOI 10.4171/GGD/565