Operator amenability of Fourier–Stieltjes algebras, II | Zendy

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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 .

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