No CrossRef data available.
Article contents
On Certain K-Groups Associated with Minimal Flows
Published online by Cambridge University Press: 20 November 2018
Abstract
It is known that the Toeplitz algebra associated with any flow which is both minimal and uniquely ergodic always has a trivial ${{K}_{1}}$-group. We show in this note that if the unique ergodicity is dropped, then such ${{K}_{1}}$-group can be non-trivial. Therefore, in the general setting of minimal flows, even the $K$-theoretical index is not sufficient for the classification of Toeplitz operators which are invertible modulo the commutator ideal.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1998