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On the $${\ell }^2$$ℓ2-Betti numbers of universal quantum groups

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We show that the first $${\ell }^2$$ℓ2-Betti number of the duals of the free unitary quantum groups is one, and that all $${\ell }^2$$ℓ2-Betti numbers vanish for the duals of… Click to show full abstract

We show that the first $${\ell }^2$$ℓ2-Betti number of the duals of the free unitary quantum groups is one, and that all $${\ell }^2$$ℓ2-Betti numbers vanish for the duals of the quantum automorphism groups of full matrix algebras.

Keywords: ell betti; universal quantum; quantum groups; numbers universal; betti numbers

Journal Title: Mathematische Annalen
Year Published: 2017

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