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Notes on a class of simple C*-algebras with real rank zero
Goodearl, K. R.

Data: 1992
Resum: A construction method is presented for a class of simple C*-algebras whose basic properties -including their real ranks- can be computed relatively easily, using linear algebra. A numerical invariant attached to the construction determines whether a given algebra has real rank 0 or 1 . Moreover, these algebras all have stable rank 1, and each nonzero hereditary sub-C*-algebra contains a nonzero projection, yet there are examples in which the linear span of the projections is not dense. (This phenomenon was first exhibited by Blackadar and Kumjian. ) The construction also produces easy examples of simple C*-algebras with real rank 0 and stable rank 1 for which Ko fails to be unperforated.
Drets: Tots els drets reservats
Llengua: Anglès
Document: Article ; recerca ; Versió publicada
Publicat a: Publicacions matemàtiques, Vol. 36, Núm. 2 (1992) , p. 637-654, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/37725
DOI: 10.5565/PUBLMAT_362A92_23


18 p, 514.7 KB

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