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Asymptotic invariants for fusion algebras associated with compact quantum groups Skalski, Adam

Description

I shall discuss certain asymptotic invariants, originating in the geometric group theory, that can be associated to fusion algebras (equipped with a fixed dimension function). The examples of such invariants are the uniform Folner and Kazhdan constants and the uniform exponential growth. I will present certain relations between these, show several quantum group examples where the invariants have been computed, and mention several natural open questions. Based on joint work with Jacek Krajczok.

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Attribution-NonCommercial-NoDerivatives 4.0 International