Fractional free convolution powers

Dimitri Shlyakhtenko, Terence Tao. With an appendix by David Jekel

The extension $k\mapsto {\mu }^{⊞k}$ of the concept of a free convolution power to the case of non-integer $k\ge 1$ was introduced by Bercovici-Voiculescu and Nica-Speicher,…