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Operator amenability of Fourier–Stieltjes algebras, II
Author(s) -
Runde Volker,
Spronk Nico
Publication year - 2007
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdl026
Subject(s) - mathematics , operator (biology) , locally compact group , riemann–stieltjes integral , compact operator , operator algebra , shift operator , algebra over a field , fourier transform , pure mathematics , amenable group , locally compact space , discrete mathematics , mathematical analysis , extension (predicate logic) , computer science , integral equation , biochemistry , chemistry , repressor , transcription factor , gene , countable set , programming language
We give an example of a non‐compact, locally compact group G such that its Fourier–Stieltjes algebra B ( G ) is operator amenable. Furthermore, we characterize those G for which A *( G ), the spine of B ( G ) as introduced by M. Ilie and N. Spronk, is operator amenable and show that A *( G ) is operator weakly amenable for each G .