Centralizers of Fourier algebra of an amenable group
Centralizers of Fourier algebra of an amenable group
Let <italic>G</italic> be a locally compact group with Fourier algebra <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper A left-parenthesis upper G right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>A</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>G</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">A(G)</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. We prove that if <italic>G</italic> is amenable then every centralizer of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper …