Type decomposition for von Neumann algebra embeddings (Q1175022)
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: Type decomposition for von Neumann algebra embeddings |
scientific article; zbMATH DE number 9908
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Type decomposition for von Neumann algebra embeddings |
scientific article; zbMATH DE number 9908 |
Statements
Type decomposition for von Neumann algebra embeddings (English)
0 references
25 June 1992
0 references
The paper under review establishes a type decomposition theory for embeddings of a von Neumann algebra into another von Neumann algebra. As an application the author characterizes the subalgebras \(A\) of a von Neumann algebra \(M\) that have an \(n\)- equipartition of the identity, i.e., \(I=\sum_{k=1}^ n p_ k\) where \(p_ k\) are projections in \(A\) which are equivalent in \(M\). From this several applications are obtained.
0 references
decomposition theory for embeddings of a von Neumann algebra into another von Neumann algebra
0 references
equipartition of the identity
0 references
