On a family of almost commuting endomorphisms (Q1328307)
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 a family of almost commuting endomorphisms |
scientific article; zbMATH DE number 599795
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a family of almost commuting endomorphisms |
scientific article; zbMATH DE number 599795 |
Statements
On a family of almost commuting endomorphisms (English)
0 references
4 July 1994
0 references
The author shows that, if \(g_ i\) is a central sequence of unitaries in a \(\text{II}_ 1\) factor, under certain circumstances \(\lim_{n\to \infty} \text{Ad}\left(\prod^ n_{i= 1} g_ i\right)\) is an automorphism. Examples come naturally from solutions of the Yang-Baxter equation with a spectral parameter, and the study of endomorphisms of the Cuntz algebra.
0 references
knot theory
0 references
solvable lattice models
0 references
quantum spin chains
0 references
transfer matrix
0 references
central sequence of unitaries in a \(\text{II}_ 1\) factor
0 references
Yang- Baxter equation with a spectral parameter
0 references
endomorphisms of the Cuntz algebra
0 references
