A topology on the semigroup of endomorphisms on a von Neumann algebra (Q1127691)
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: A topology on the semigroup of endomorphisms on a von Neumann algebra |
scientific article; zbMATH DE number 1185921
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A topology on the semigroup of endomorphisms on a von Neumann algebra |
scientific article; zbMATH DE number 1185921 |
Statements
A topology on the semigroup of endomorphisms on a von Neumann algebra (English)
0 references
30 September 1999
0 references
Let \(M\) be a von Neumann algebra and \(\text{End}(M)\) be its semigroup of endomorphisms. The author considers the natural topological structure on \(\text{End}(M)\), the \(u\)-topology, and relates it to some important invariants and constructions for endomorphisms, such as Long's endomorphisms and Izumi's Connes-Takesaki type module [see also the recent paper: \textit{U. Haagerup} and \textit{C. Winsløw}, Am. J. Math. 120, No. 3, 567-617 (1998)].
0 references
von Neumann algebra
0 references
semigroup of endomorphisms
0 references
topological structure
0 references
\(u\)-topology
0 references
Long's endomorphisms
0 references
Izumi's Connes-Takesaki type module
0 references
