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• W2949203459 abstract "We define the spine A*(G) of the Fourier-Stieltjes algebra B(G) of a locally compact group G. A*(G) is graded over a certain semi-lattice, that of non-quotient locally precompact topologies on G. We compute the spine's spectrum G*, which admits a semi-group structure. We discuss homomorphisms from A*(G) to B(H) where H is another locally compact group; and we show that A*(G) contains the image of every completely bounded homomorphism from the Fourier algebra A(H) of any amenable group H. We also show that A*(G) contains all of the idempotents in B(G). Finally, we compute examples for vector groups, abelian lattices, minimally almost periodic groups and the ax+b-group; and we explore the complexity of A*(G) for the discrete rational numbers and free groups." @default.
• W2949203459 created "2019-06-27" @default.
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• W2949203459 creator A5017305013 @default.
• W2949203459 date "2005-05-26" @default.
• W2949203459 modified "2023-09-27" @default.
• W2949203459 title "The spine of a Fourier-Stieltjes algebra" @default.
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