Completely bounded homomorphisms of the Fourier algebras

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• 作者：Monica Ilie and Nico Spronk
• 关键词：Fourier algebra ; Fourier– ; Stieltjes algebra ; Completely bounded maps ; Piecewise affine maps
• 刊名：Journal of Functional Analysis
• 出版年：2005
• 出版时间：2005
• 年：2005
• 卷：225
• 期：2
• 页码：480-499
• 全文大小：305 K

文摘

For locally compact groups G and H let A(G) denote the Fourier algebra of G and B(H) the Fourier–Stieltjes algebra of H. Any continuous piecewise affine map α:YH→G (where Y is an element of the open coset ring) induces a completely bounded homomorphism Φ_α:A(G)→B(H) by setting Φ_αu