Representing interpolated free group factors as group factors

2018/05/27 by Popa, Sorin, Shlyakhtenko, Dimitri · 1 citation
#FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1805.10707

Abstract

We construct a one parameter family of ICC groups \G_t\_t>1, with the property that the group factor L(G_t) is isomorphic to the interpolated free group factor L(\mathbb F_t):=L(\mathbbF₂)^1/√(t-1), ∀ t. Moreover, the groups G_t have fixed cost t, are strongly treeable and freely generate any treeable ergodic equivalence relation of same cost.

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