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Nico Spronk--Topologies, idempotents and ideals
发布人:尹智  发布时间:2018-07-02   浏览次数:10

Title:Topologies, idempotents and ideals

Speaker: Nico Spronk, Waterloo University

Abstract: A classical theorem due to Jacobs, and de Leeuw and Glicksberg, shows that a continuous representation of a topological group G on a reflexive Banach space may be decomposed into a “returning” subspace and a “weakly mixing” subspace. Furthermore, following Dye, Bergelson and Rosenblatt characterized the weakly mixing vectors as those for which the closure of the weak orbit of the vector contains zero. I wish to exhibit a generalization of these results, inspired, in part, by some work of Ruppert on abelian groups. I will exhibit a bijective correspondence between

– central idempotents in the weakly almost periodic compactification of G, 

– certain topologies on G, and

– certain ideals in the algebra of weakly almost periodic functions.

Given time, I will indicate some applications to Fourier-Stieltjes algebras.

Time: 13 July, 8:30-9:30, Place: 522 Gewu Building