On the l²-Betti numbers of universal quantum groups
classification
🧮 math.OA
keywords
bettigroupsquantumdualsnumbersalgebrasautomorphismfirst
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We show that the first $\ell^2$-Betti number of the duals of the free unitary quantum groups is one, and that all $\ell^2$-Betti numbers vanish for the duals of the quantum automorphism groups of full matrix algebras.
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