Positive definite bounded matrices and a characterization of amenable groups

Author:

Bożejko Marek

Abstract

We show that a discrete group G G is amenable iff the Herz-Schur multiplier algebra B 2 ( G ) {B_2}(G) coincides with the Fourier-Stieltjes algebra B ( G ) B(G) .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference18 articles.

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4. J. de Cannière and U. Haagerup, Multipliers of the Fourier algebras of some simple Lie groups and their discrete subgroups, preprint, 1982.

5. L’algèbre de Fourier d’un groupe localement compact;Eymard, Pierre;Bull. Soc. Math. France,1964

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