Samei, Ebrahim2010-11-302010-11-302010-11-30200810.1017/S1446788708000049https://infoscience.epfl.ch/handle/20.500.14299/60954WOS:000259753600010Let 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 n is an element of N, bounded local n-cocycles from A((n)) into X are n-cocycles.local derivationslocal operatorslocal n-cocycleshyperlocal mapshyper-Tauberian algebrasC*-algebrasamenability and weak amenabilityDerivationstext::journal::journal article::research article