Date | 2014-09-12 |
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Speaker | Nico Spronk |

Dept. | University of Waterloo |

Room | 129-301 |

Time | 10:30-12:00 |

Let G be a compact group and ZA(G) be the “central Fourier algebra”, i.e. the algebra of those u in A(G) for which u(x)=(yxy^{-1}) for each x,y in G. I will discuss amenability and weak amenability for this algebra. The latter property holds exactly when G admits no connected non-abelian subgroups. For virtually abelian G, ZA(G) is amenable. I will present evidence for the converse, in particular infinite products of finite groups.

This represents joint work with M. Alaghmandan.

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