Self-stabilization in certain infinite-dimensional matrix algebras (Q2915551)
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: Self-stabilization in certain infinite-dimensional matrix algebras |
scientific article; zbMATH DE number 6083366
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Self-stabilization in certain infinite-dimensional matrix algebras |
scientific article; zbMATH DE number 6083366 |
Statements
Self-stabilization in certain infinite-dimensional matrix algebras (English)
0 references
18 September 2012
0 references
\(K\)-theory
0 references
stabilization of matrices
0 references
linearization of cyclic loops
0 references
Toeplitz algebra
0 references
Bott periodicity
0 references
locally convex algebras
0 references
The three main analytical tools in \(K\)-theory are: self-stabilization of rapidly decreasing matrices, linearization of cyclic loops and contractibility of the stable Toeplitz algebra. The author gives explicit formulas for them in terms of locally convex algebras, with adaptation to \(\ast\)-algebras and finite perturbation categories. He also shows finite linearizability of algebraically finite cyclic loops.
0 references
