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We calculate all ${{\ell }^{2}}$ -Betti numbers of the universal discrete Kac quantum groups $\widehat{\text{U}}_{n}^{+}$ as well as their half-liberated counterparts $\widehat{\text{U}}_{n}^{*}$ .

Higherℓ2-Betti Numbers of Universal Quantum Groups

Higherℓ²-Betti Numbers of Universal Quantum Groups