Johnson, B.E.

Cohomology in Banach Algebras. - 1st ed. - 1 online resource (104 pages) - Memoirs of the American Mathematical Society ; v.1 . - Memoirs of the American Mathematical Society .

Intro -- Contents -- 1. Homology and cohomology -- 2. Cohomology of a locally compact group with coefficients in a Banach space -- 3. H[sup(1)](L[sup(1)](G), X*) and fixed points -- 4. Group actions and derivations on L[sup(1)](G) -- 5. Amenable algebras -- 6. Amenability of the algebras L'(E) for some Banach spaces E -- 7. Strong amenability of C*-algebras -- 8. Commutative algebras -- 9. Point cohomology -- 10. Suggestions for further research.

9780821899250


Banach algebras.
Homology theory.
Topological groups.


Electronic books.

QA326 -- .J64 1972eb

510/.8 s;512/.55