Instead of studying a compact group G, we may consider the algebra C(G) of continuous functions C → ℂ. The structure of the group is encoded in the function algebra, but we shall see that this approach paves the way for a more general functional analytic theory of Hopf algebras, which possess nice duality properties.
KeywordsHopf Algebra Compact Group Commutative Diagram Algebra Homomorphism Algebra Isomorphism
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