On Rørdam's classification of certain $C^*$-algebras with one non-trivial ideal, II | Zendy

Gunnar Restorff | Zendy; Efren Ruiz | Zendy

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On Rørdam's classification of certain $C^*$-algebras with one non-trivial ideal, II

Author(s) -

Gunnar Restorff,

Efren Ruiz

Publication year - 2007

Publication title -

mathematica scandinavica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.553

H-Index - 30

eISSN - 1903-1807

pISSN - 0025-5521

DOI - 10.7146/math.scand.a-15045

Subject(s) - unital , mathematics , ideal (ethics) , class (philosophy) , unit (ring theory) , pure mathematics , discrete mathematics , algebra over a field , mathematics education , artificial intelligence , computer science , epistemology , philosophy

In this paper we extend the classification results obtained by Rørdam in the paper [16]. We prove a strong classification theorem for the unital essential extensions of Kirchberg algebras, a classification theorem for the non-stable, non-unital essential extensions of Kirchberg algebras, and we characterize the range in both cases. The invariants are cyclic six term exact sequences together with the class of some unit.

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