Amenable Banach Algebras |
Contents
Amenability of the Banach algebras | 19 |
Amenable Calgebras 43 55 388 | 43 |
Amenability and von Neumann algebras | 68 |
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Common terms and phrases
A₁ A₂ abelian algebra and let amenable Banach algebra amenable groups approximately finite-dimensional B₁ Banach A-module Banach A-module structure Banach A-submodule Banach space bounded approximate units canonical central projection Chapter completely normalized mapping consider continuous derivation continuous linear converges crossed product d₁ defined denote E₁ E₂ Effros element exists f₁ finite rank group G H₁ H₂ hence hermitian Hilbert space homomorphism hypothesis injective von Neumann involutive isometry isomorphic k₂ Kac algebra Lē(G Lemma Let F Let H linear mapping locally compact group Math Neumann algebra Nonlinear partial differential nonzero norm normal morphism normalized mapping nuclear C*-algebra P₁(A partial differential equations PROOF representation semidiscrete von Neumann semifinite space H strongly amenable C*-algebras subalgebra subspace T₁ T₂ Theorem unital Banach unital C*-algebra unitary vectors vector space virtual diagonal von Neumann algebra X₁ ΕΙ