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$\mathrm{C}^*$-selflessness of vigorous groups
We prove that countable groups which admit a faithful piecewise minimal-extremely-proximal action on the Cantor set are $\mathrm{C}^*$-selfless. In particular, topological full groups of second countable, Hausdorff, minimal, purely infinite, topologically principal, ample groupoids with compact unit
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