Article contents
LOCAL PROPERTIES OF THE HOCHSCHILD COHOMOLOGY OF C*-ALGEBRAS
Published online by Cambridge University Press: 01 February 2008
Abstract
Let A be a C*-algebra, and let X be a Banach A-bimodule. Johnson [B. E. Johnson, ‘Local derivations on C*-algebras are derivations’, Trans. Amer. Math. Soc. 353 (2000), 313–325] showed that local derivations from A into X are derivations. We extend this concept of locality to the higher cohomology of a C*-algebra and show that, for every , bounded local n-cocycles from A(n) into X are n-cocycles.
Keywords
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 84 , Issue 1 , February 2008 , pp. 117 - 130
- Copyright
- Copyright © 2008 Australian Mathematical Society
References
- 3
- Cited by