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Some Weighted Group Algebras are Operator Algebras

Some Weighted Group Algebras are Operator Algebras

Abstract Let G be a finitely generated group with polynomial growth, and let ω be a weight, i.e. a sub-multiplicative function on G with positive values. We study when the weighted group algebra ℓ 1 ( G, ω ) is isomorphic to an operator algebra. We show that ℓ 1 …