Timeline for N-coinvariants of $\mathcal{C}^{sm}_c(N,A)$ (compactly supported smooth functions on $N$) ?
Current License: CC BY-SA 3.0
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| Jun 3, 2012 at 15:00 | comment | added | Arkandias | Thank you for you answer. I agree that we only have to show that $$\mathcal{C}^{sm}(\mathbb{Z}_p,A)_{\mathbb{Z}_p} = 0$$ but I do not see the isomorphism $$\mathcal{C}^{sm}(\mathbb{Z}_p,A) = \varprojlim A[\mathbb{Z}_p/p^n \mathbb{Z}_p]$$ Moreover the Iwasawa algebra of $\mathbb{Z}_p$ over $A$ is the continuous dual of $\mathcal{C}^{sm}(\mathbb{Z}_p,A)$ (as David said) but why this latter should be isomorphic to $\mathcal{C}^{sm}(\mathbb{Z}_p,A)$ ?... | |
| Jun 3, 2012 at 10:50 | vote | accept | Arkandias | ||
| Jun 3, 2012 at 14:32 | |||||
| Jun 2, 2012 at 8:57 | history | edited | Filippo Alberto Edoardo | CC BY-SA 3.0 |
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| Jun 2, 2012 at 8:41 | history | edited | Filippo Alberto Edoardo | CC BY-SA 3.0 |
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| Jun 2, 2012 at 3:26 | history | answered | Filippo Alberto Edoardo | CC BY-SA 3.0 |