Abstract
AbstractIn this paper, we answer in the affirmative the long-standing conjecture that the first cohomology group of the Murray–von Neumann algebraS(ℳ){S(\mathcal{M})}of all operators affiliated with a typeII1{\mathrm{II}_{1}}von Neumann algebraℳ{\mathcal{M}}is 0. That is, we show that all derivations ofS(ℳ){S(\mathcal{M})}are inner.
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