On the classification of AF-algebras and their dimension groups (Q1801750)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the classification of AF-algebras and their dimension groups |
scientific article; zbMATH DE number 205798
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the classification of AF-algebras and their dimension groups |
scientific article; zbMATH DE number 205798 |
Statements
On the classification of AF-algebras and their dimension groups (English)
0 references
17 August 1993
0 references
The notion of finite or semi-finite \(C^*\)-algebra as defined by \textit{J. Cuntz} and \textit{G. K. Pedersen} in [J. Funct. Anal. 33, 135-164 (1979; Zbl 0427.46042)] is reformulated for a separable AF algebra in terms of its dimension range (the set of Murray-von Neumann equivalence classes of projections, with addition defined on pairs of classes with orthogonal representatives).
0 references
separable AF algebra
0 references
dimension range
0 references
Murray-von Neumann equivalence classes of projections
0 references
pairs of classes with orthogonal representatives
0 references
