In general, commutative $C^*$$C^\ast$-algebras are amenable. See http://journals.cambridge.org.proxy2.lib.umanitoba.ca/action/displayAbstract?fromPage=online&aid=7629848A new proof of the amenability of $C(X)$ by Mortaza Abtahi and Yong Zhang (Bulletin of the Australian Mathematical Society, Volume 81, Issue 3, June 2010, pages 414-417).
replaced non-functioning link (not proxying though the university of Manitoba) and added bibliographic data
Ricardo Andrade
- 6.2k
- 5
- 42
- 69