From Wikipedia, the free encyclopedia
In
mathematics, Banach algebra cohomology of a
Banach algebra with coefficients in a bimodule is a
cohomology theory defined in a similar way to
Hochschild cohomology of an
abstract algebra, except that one takes the topology into account so that all cochains and so on are continuous.
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[2]
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References
-
^ Johnson, Barry Edward (1972),
Cohomology in Banach algebras, Memoirs of the American Mathematical Society, vol. 127, Providence, R.I.:
American Mathematical Society,
ISBN
978-0-8218-1827-5,
MR
0374934
-
^ Helemskii, Alexander Ya. (1989) [1986],
The homology of Banach and topological algebras, Mathematics and its Applications (Soviet Series), vol. 41, Dordrecht: Kluwer Academic Publishers Group,
ISBN
978-0-7923-0217-9,
MR
1093462
-
^ Khelemskii, A.Ya. (2001) [1994],
"Cohomology of Banach algebras",
Encyclopedia of Mathematics,
EMS Press
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