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I am not sure if the following example counts, since the question (by Ozawa) was asked specifically with a view to solving an existing open problem. Nevertheless: the answer to Szőkefalvi-Nagy's unitarizability theorem in the Calkin algebra? turns out to be positive; yet a related problem, namely "is every bounded representation of a discrete abelian ...


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Here is a try: I asked a question (Discrete Gaussian free field for a closed manifold) about one year ago. About six months ago I noticed an arxiv paper addressing part of the problem I asked: https://arxiv.org/abs/1809.03382 (For the connection, see their introduction) I am not a big expert in probability theory or statistical physics, so I do not know ...


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