Timeline for inverse limits of group algebras and profinite groups

11 events

when toggle format	what		by	license	comment
Dec 6, 2011 at 10:10	history	edited	Dima Pasechnik	CC BY-SA 3.0	added 59 characters in body
Dec 6, 2011 at 4:26	history	edited	Dima Pasechnik	CC BY-SA 3.0	added 190 characters in body
Dec 6, 2011 at 4:22	comment	added	Dima Pasechnik		Simon, thanks! Perhaps you can also confirm my suspicion that the inverse limit of the system of groups $\mathbb{k}[G_i]^$, i.e. groups of invertible elements of $\mathbb{k}[G_i]$, is the group $[[\mathbb{k}G]]^$ ?
Dec 6, 2011 at 4:06	vote	accept	Dima Pasechnik
Dec 5, 2011 at 16:55	comment	added	Simon Wadsley		Sorry. I just noticed that I typed polynomial when I meant power series.
Dec 5, 2011 at 15:04	comment	added	Simon Wadsley		In the case you just added the ring is isomorphic to the formal polynomial ring in one variable $k[[T]]$. The element $T$ corresponds to an element $g-1$ with $g$ a generator of $\mathbb{Z}_p$. The references you have already been given prove this.
Dec 5, 2011 at 13:01	history	edited	Dima Pasechnik	CC BY-SA 3.0	added a question regarding a particular case
Dec 5, 2011 at 9:43	answer	added	Tim Porter		timeline score: 8
Dec 5, 2011 at 7:28	answer	added	Gjergji Zaimi		timeline score: 11
Dec 5, 2011 at 6:36	comment	added	user6976		Did you try $G_i$ to be a vector space over the 2-element field, $p=2$, the homomorphisms kill the last coordinate? It seems like the inverse limit of group algebras is much bigger than the group algebra of inverse limits.
Dec 5, 2011 at 6:03	history	asked	Dima Pasechnik	CC BY-SA 3.0