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Topic:
Haar measure on locally compact group
Replies:
3
Last Post:
Feb 6, 2013 2:32 PM




Re: Haar measure on locally compact group
Posted:
Feb 6, 2013 2:32 PM


On Wed, 6 Feb 2013 11:21:06 0800 (PST), johnartin@gmail.com wrote:
>On Tuesday, February 5, 2013 4:17:15 PM UTC6, john...@gmail.com wrote: >> Hi, >> >> >> >> Can somebody help me by showing the outline or key steps to prove that if G is a locally compact group with the Haar measure (just assume G is Abelian), then if the Haar measure of G is finite, then G must be compact. I tried many times, got some progress but did not get to the final solution yet. Thanks > >I understand your proof, except that the notation near the end, I think we have to exchange the roles of x and y,
... yes, I got them switched, sorry.
>but the key is I understand the idea. >All the standard book I read, this problem is an exercise... >Thank you very much, I appreciate that.



