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Answer by Stefaan Vaes for Characterizing discrete quantum groups

Also the implication (2) $\Rightarrow$ (1) holds and can be proven as follows.Denote by $\mathcal{C}$ the category of all finite dimensional, nondegenerate $*$-representations of $M$. The morphisms are...

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Answer by Matthew Daws for Characterizing discrete quantum groups

I think this is an interesting question. I wonder if the OP had any partial results? I give below an argument showing (1)$\implies$(2), but maybe the OP already knew this?If (1) holds, then in the...

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Characterizing discrete quantum groups

Let $M$ be a von Neumann algebra, and let $\Delta$ be a unital normal $*$-homomorphism $M \rightarrow M \mathbin{\bar\otimes} M$ that satisfies the coassociativity condition $(\Delta...

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