Amenable Banach algebra

Examples

• If A is a group algebra for some locally compact group G then A is amenable if and only if G is amenable.
• If A is a C*-algebra then A is amenable if and only if it is nuclear.
• If A is a uniform algebra on a compact Hausdorff space then A is amenable if and only if it is trivial.
• If A is amenable and there is a continuous algebra homomorphism from A to another Banach algebra, then the closure of is amenable.