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Interpolated free group factors. (English) Zbl 0791.46038
The interpolated free group factors \(L(\mathbb{F}_ r)\) for \(1<r\leq\infty\) (also defined by F. Rădulescu), are given another (but equivalent) definition as well as proofs of their properties with respect to compression by projections and free products. In order to prove the addition formula for free products, algebraic techniques are developed which allows us to show \(R*R \cong L(\mathbb{F}_ 2)\) where \(R\) is the hyperfinite \(\text{II}_ 1\)-factor.

MSC:
46L35 Classifications of \(C^*\)-algebras
46L55 Noncommutative dynamical systems
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