Inverse limits of topological group cohomologies
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- by Arnold J. Insel PDF
- Proc. Amer. Math. Soc. 55 (1976), 175-180 Request permission
Abstract:
For second countable locally compact almost connected groups $G$ and $A$, where $A$ is abelian and $G$ acts on $A$ continuously, it is shown that it is possible to represent $A$ as an inverse limit of Lie groups $\{ {A_n}\}$ compatible with the action of $G$ and such that ${H^{\ast }}(G,A)$ is isomorphic to ${\lim _n}\operatorname {inv} {H^{\ast }}(G,{A_n})$, provided that $A$ is compact or connected.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 55 (1976), 175-180
- MSC: Primary 22D99; Secondary 18H10
- DOI: https://doi.org/10.1090/S0002-9939-1976-0414784-6
- MathSciNet review: 0414784