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commutative-transitive group

Proceedings of the Edinburgh Mathematical Society (1)

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Simplicial cohomology of augmentation ideals in l1(G)
Part of
- Homological methods
- Structure and classification of infinite or finite groups
Yemon Choi
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 53 / Issue 1 / February 2010

Published online by Cambridge University Press:

12 January 2010, pp. 97-109
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Let G be a discrete group.We give a decomposition theorem for the Hochschild cohomology of l1(G) with coefficients in certain G-modules. Using this we show that if G is commutative-transitive, the canonical inclusion of bounded cohomology of G into simplicial cohomology of l1(G) is an isomorphism.