Geodesic
GROUP EXTENSIONS AND THE PRIMITIVE IDEAL SPACES OF TOEPLITZ ALGEBRAS
Glasgow mathematical journal, Tome 49 (2007) no. 1, pp. 81-92

Voir la notice de l'article provenant de la source Cambridge University Press

Let Γ be a totally ordered abelian group and I an order ideal in Γ. We prove a theorem which relates the structure of the Toeplitz algebra T(Γ) to the structure of the Toeplitz algebras T(I) and T(Γ/I). We then describe the primitive ideal space of the Toeplitz algebra T(Γ) when the set Σ(Γ) of order ideals in Γ is well-ordered, and use this together with our structure theorem to deduce information about the ideal structure of T(Γ) when 0→ I→ Γ→ Γ/I→ 0 is a non-trivial group extension.
DOI : 10.1017/S0017089507003436
Mots-clés : 46L55 
ADJI, SRIWULAN; RAEBURN, IAIN; ROSJANUARDI, RIZKY. GROUP EXTENSIONS AND THE PRIMITIVE IDEAL SPACES OF TOEPLITZ ALGEBRAS. Glasgow mathematical journal, Tome 49 (2007) no. 1, pp. 81-92. doi: 10.1017/S0017089507003436
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