Idempotents of Norm One and Banach Algebra Representations of Compact Groups

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Vector-valued measures and integration (46G10) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Group algebras of locally compact groups (22D15) (L^1)-algebras on groups, semigroups, etc. (43A20)