Uniform algebras invariant under transitive group actions Alexander Izzo 46J1046J1532A6557S9922D99uniform algebratransitive group actioninvariantLie group It is shown that $C(X)$ is the only uniform algebra on a compact Hausdorff space $X$ that is invariant under a transitive action on its maximal ideal space by a locally compact group that can be approximated by Lie groups. Indiana University Mathematics Journal 2010 text pdf 10.1512/iumj.2010.59.4032 10.1512/iumj.2010.59.4032 en Indiana Univ. Math. J. 59 (2010) 417 - 426 state-of-the-art mathematics http://iumj.org/access/