Article contents
AMENABILITY FOR REAL C*-ALGEBRAS
Published online by Cambridge University Press: 01 June 2008
Abstract
It is shown that the complexification of a positive linear map on a real C*-algebra need not be positive whereas the complexification of a completely positive linear map is completely positive. It is further shown that a real C*-algebra is amenable if and only if its complexification is amenable and that a completely positive linear map is amenable if and only if its complexification is. Finally, a real version of the Choi–Effros lifting theorem is established.
MSC classification
- Type
- Research Article
- Information
- Copyright
- Copyright © 2008 Australian Mathematical Society
References
- 1
- Cited by