ANOTHER PROOF THAT Aγ(G) AND A∆(G) ARE BANACH ALGEBRAS

Abstract

We provide another unified proof that Aγ(G) and A∆(G) are Banach algebras for a compact group G, where Aγ(G) and A∆(G) are images of the convolution and the twisted convolution, respectively, on A(G × G). Our new approach heavily depends on analysis of co-multiplication on V N (G), the group von-Neumann algebra of G.

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