Centrally pure C*-algebras
Artikel i vetenskaplig tidskrift, 2026
We show that a separable C⁎[jls-end-space/]-algebra A is Z[jls-end-space/]-stable if and only if its uncorrected central sequence algebra A′∩AU is pure, if and only if Kirchberg's central sequence algebra F(A) is pure.More generally, we show that a C⁎[jls-end-space/]-algebra A is separably Z[jls-end-space/]-stable if and only if the relative central sequence algebra B′∩AU is pure for every separable subalgebra B⊆AU[jls-end-space/].
Författare
Francesc Perera
Centre de Recerca Matemàtica
Universitat Autonoma de Barcelona (UAB)
Hannes Thiel
Göteborgs universitet
Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori
Eduard Vilalta Vila
Universitat Politecnica de Catalunya
Journal of Functional Analysis
0022-1236 (ISSN) 1096-0783 (eISSN)
Vol. 291 8 111578Ämneskategorier (SSIF 2025)
Matematisk analys
DOI
10.1016/j.jfa.2026.111578