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Feb 18, 2019 at 23:22 comment added Ashwin Trisal Because $A^{**}$ is a von Neumann algebra, it has no outer derivations, so its first Hochschild cohomology must be $0$. This is stated in a paper of Kadison and Ringrose here projecteuclid.org/download/pdf_1/euclid.acta/1485889690 with reference to citations 9, 10, and 13.
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S Jan 28, 2019 at 1:34 history bounty started Ali Taghavi
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Jan 8, 2019 at 9:47 history edited Ali Taghavi
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Jan 8, 2019 at 9:24 history edited Ali Taghavi CC BY-SA 4.0
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Jan 8, 2019 at 8:09 history asked Ali Taghavi CC BY-SA 4.0