Timeline for Topological Hochschild homology of Azumaya algebra
Current License: CC BY-SA 4.0
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| Jan 24, 2023 at 13:42 | answer | added | Maxime Ramzi | timeline score: 1 | |
| Oct 16, 2019 at 2:06 | comment | added | skd | @Qixiao This is essentially because the category of rational E_oo-rings is the same as the category of cdgas (and also the same as simplicial commutative Q-algebras). So when you take the derived smash product in the world of rational E_oo-rings to define THH, you just recover ordinary HH. | |
| Oct 16, 2019 at 1:47 | history | edited | user39380 | CC BY-SA 4.0 |
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| Oct 15, 2019 at 6:12 | comment | added | user39380 | @TylerLawson Thanks! Is there a reference for the equivalence of THH and HH over rationals? | |
| Oct 14, 2019 at 14:42 | comment | added | Tyler Lawson | In regard to the specific example, for algebras over the rational numbers Hochschild homology coincides with $THH$. Therefore, by the result you mentioned (eg. proved in Cortiñas and Weibel's "Homology of Azumaya Algebras"), they have the same $THH$. | |
| Oct 14, 2019 at 8:40 | history | edited | user39380 | CC BY-SA 4.0 |
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| Oct 14, 2019 at 7:53 | history | edited | YCor |
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| Oct 14, 2019 at 7:42 | history | edited | Lennart Meier | CC BY-SA 4.0 |
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| Oct 14, 2019 at 5:31 | history | asked | user39380 | CC BY-SA 4.0 |