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Jan 31, 2020 at 20:07 comment added pbelmans If a category is non-zero then the zeroth Hochschild cohomology will be nonzero, as it contains the identity morphism between the diagonals.
Jan 31, 2020 at 18:40 comment added user142700 Based on your comment regarding Hochschild COhomology detecting nonvanishing in the above examples, am I correct to infer that there are no known examples of non-zero categories with HH_*(A)=HH^*(A)=0? Are there any conjectures regarding whether such examples should exist?
Jan 31, 2020 at 18:30 vote accept user142700
Jan 31, 2020 at 18:25 history answered pbelmans CC BY-SA 4.0