Timeline for If the Tate construction vanishes for all trivial $G$-actions, then does it vanish for all $G$-actions?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Apr 9, 2019 at 2:06 | comment | added | Tim Campion | @skd Thanks, that's really cool! I was mostly interested in the case where $X^{tG}$ vanishes for all constant $X$, but that's amazing that it sometimes works one $X$ at a time! | |
| Apr 9, 2019 at 0:30 | comment | added | skd | If A is an E_oo-ring with a G-action, then there is an E_oo-ring map A^{tG}_triv -> A^{tG}, where the source is the Tate construction for the trivial G-action on A. If A^{tG}_triv vanishes, then so does A^{tG}. This isn't nearly as general as the sort of result you want. | |
| Apr 8, 2019 at 18:58 | vote | accept | Tim Campion | ||
| Apr 8, 2019 at 18:57 | answer | added | S. carmeli | timeline score: 6 | |
| Apr 8, 2019 at 18:43 | comment | added | Tim Campion | @S.carmeli Thanks, Shachar! I've been meaning to dig into your paper for awhile. If you were to make your comment an answer, I'd gladly accept! | |
| Apr 8, 2019 at 18:41 | comment | added | S. carmeli | This is a consequence (but really what you want is the only application I l know for) Lemma 2.1.5 in our paper on ambidexterity in stable homotopy theory. Here's a link arxiv.org/pdf/1811.02057.pdf. | |
| Apr 8, 2019 at 18:12 | history | asked | Tim Campion | CC BY-SA 4.0 |