弱概周期拓扑、幂等元与理想
Weakly almost periodic topologies, idempotents and ideals
摘要：
设（G，tau_G）是一个拓扑群.建立了G上比τ_G粗的弱概周期拓扑、弱概周期紧化G^W中的中心幂等元和弱殆周期函数代数W（G）中的某些理想之间的关系.我们得到分解的弱概周期表示，推广了许多文献。我们着眼于预局部紧拓扑的作用，unitarizable拓扑，并扩展或分解到Fourier-Stieltjes代数B（G）。
英文摘要：
Let (G,tau_G) be a topological group. We establish relationships between weakly almost periodic topologies on G coarser than tau_G, central idempotents in the weakly almost periodic compactification G^W, and certain ideals in the algebra of weakly almost periodic functions W(G). We gain decompositions of weakly almost periodic representations, generalizing many from the literature. We look at the role of pre-locally compact topologies, unitarizable topologies, and extend or decompositions to Fourier-Stieltjes algebras B(G).
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