Spectral results for free random variables

Brian C. Hall, Ching-Wei Ho

Let $(\mathcal{A},\mathrm{tr})$ be a von Neumann algebra with a faithful, normal trace $\mathrm{tr}:\mathcal{A}\to \mathbb{C}.$ For each $a\in \mathcal{A},$ define \[ S(λ,\v…