On the first cohomology group of discrete groups with property $(T)$
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- by S. P. Wang
- Proc. Amer. Math. Soc. 42 (1974), 621-624
- DOI: https://doi.org/10.1090/S0002-9939-1974-0354936-5
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Abstract:
Let G be a separable locally compact group with property (T), i.e., the class of one dimensional trivial representations is an isolated point in the dual space Ĝ of G. Let $\pi :G \to {O_n}$ be a continuous representation of G into the orthogonal group. In this note, we show that ${H^1}(G,\pi ) = 0$.References
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Bibliographic Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 42 (1974), 621-624
- MSC: Primary 22E40
- DOI: https://doi.org/10.1090/S0002-9939-1974-0354936-5
- MathSciNet review: 0354936