Local Proof of Algebraic Characterization of Free Actions
Local Proof of Algebraic Characterization of Free Actions
Let G be a compact Hausdorff topological group acting on a compact Hausdorff topological space X.Within the C * -algebra C(X) of all continuous complex-valued functions on X, there is the Peter-Weyl algebra P G (X) which is the (purely algebraic) direct sum of the isotypical components for the action …