## Group C* algebras of finite groups [closed]

I am learning group C* algebras for my graduate research. I've known that C*(G)=C(\hat{G}), if G is abelian. What can we say if the group is not abelian? Do we have explicit description of C*(G) if G is finite non-abelian? Any suggestions or recommendations on books/papers will be greatly appreciated.

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 This is not really appropriate for this site. Try mathSE. – Benjamin Steinberg May 8 2012 at 20:59 Try looking in books on the representation theory or character theory of finite groups. Some, but not all, will describe how $C^\ast(G)$ decomposes into a sum of matrix algebras – Yemon Choi May 8 2012 at 23:55 And work out for yourself what this means when G is the smallest non-abelian group – Yemon Choi May 8 2012 at 23:56 It's an old book, but I still think Dixmier treats this very well-- he does the compact group case, but of course finite is a special case of this... – Matthew Daws May 9 2012 at 8:20