Character amenability of Lipschitz algebras

Character amenability of Lipschitz algebras

Dashti, Mahshid,

Nasr-Isfahani, Rasoul;

Soltani Renani, Sima

ABSTRACT

Let X be a locally compact metric space and let A be any of the Lipschitz algebras Lipα X, lipα X, or lip 0α X. In this paper, we show, as a consequence of rather more general results on Banach algebras, that A is C-character amenable if and only if X is uniformly discrete.

Keywords: character amenable, character contractible, Lipschitz algebras, spectrum

MSC Classifications: 43A07, 46H05, 46J10 show english descriptions

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Character amenability of Lipschitz algebras