Timeline for Morita equivalence for compact groups

9 events

when toggle format	what		by	license	comment
Mar 19, 2012 at 10:00	vote	accept	Marc Palm
Mar 17, 2012 at 19:51	history	edited	Marc Palm	CC BY-SA 3.0	deleted 160 characters in body
Mar 17, 2012 at 17:16	answer	added	Tom Goodwillie		timeline score: 7
Mar 17, 2012 at 14:49	comment	added	Jef		Argh, I don't know how to edit the previous comment. I meant the product of these two subvectorspaces, not subsets. I.e. linear combinations of products.
Mar 17, 2012 at 14:48	comment	added	Jef		Well, the product of these two subsets of $C(K)$, or if you prefer, the $(C(K)^H)^{opp}$ submodule of $C(K)$ for the right multiplcation that is spanned by S (which is a $C(K)$-submodule for the left multiplication).
Mar 17, 2012 at 13:41	comment	added	Marc Palm		Thx. What is $S.C(K)^H$?
Mar 17, 2012 at 13:09	comment	added	Jef		I guess that if you understand the finite case, the compact case will be very similar. So let us suppose K finite. Here is a candidate : let S be any multiplicity one left-submodule of C(K) containing a copy of each simple left module. Then take $M=N:=S. C(K)^H$. I am much too lazy to check anything at the moment, but I'm pretty sure it works for H=K or H=\{e\}$ ! On the other hand this is maybe not as nice a construction as what you would hope for.
Mar 17, 2012 at 12:59	history	edited	Marc Palm	CC BY-SA 3.0	added 12 characters in body; edited tags; added 24 characters in body
Mar 17, 2012 at 10:23	history	asked	Marc Palm	CC BY-SA 3.0