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Sep 22, 2011 at 23:58 comment added MTS If the group is locally compact but not finite, isn't it impossible for $C_c(G)$ to be finite-dimensional?
Sep 22, 2011 at 22:01 comment added Benjamin Steinberg That is finite groups.
Sep 22, 2011 at 22:01 comment added Benjamin Steinberg The paper projecteuclid.org/… of Rieffel characterizes group algebras of groups over the reals as ordered algebras (ordering functions on the group pointwise).
Sep 22, 2011 at 20:48 comment added lwassink I mean $C_c(G)$ - continuous compactly supported functions. Thanks for the clarification.
Sep 22, 2011 at 20:42 comment added Yemon Choi When you say group algebra, are you completing this in some norm? (Otherwise your mention of "locally compact groups" sounds strange.) If so, do you mean $L^1(G)$, or $C_r^*(G)$, or $C^*(G)$, or something else?
Sep 22, 2011 at 20:39 history asked lwassink CC BY-SA 3.0