Measure Algebras, Ausgabe 16

abelian absolutely continuous analytic Bohr compactification bounded C*-algebra Chapter cohomology commutative Banach algebra complex homomorphism concentrated conclude convolution measure algebra COROLLARY critical point defined denote dense equation fact finite follows Fourier transform Furthermore ƒES Gelfand transform group algebra group G H¹(A Haar measure Hausdorff space Hence idempotent idempotent semigroup implies induced infinite product injective integer invertible isomorphic kernel L-homomorphism L-ideal L-space L-subalgebra L-subspace l. c. a. group LEMMA linear span locally compact logarithms M₁ maximal group algebra measure algebra measures in M(G multiplication nondiscrete nonzero norm Note operator PROOF PROPOSITION prove Rad L(G Rudin satisfies semicharacter semisimple measure algebra sequence Shilov boundary spectrum strong boundary structure semigroup subgroup subsemigroup subset T₁ theorem topological semigroup unique v₁ v₂ vanish w₁ w₂ weak zero μ₁