SOME REMARKS ON BOUNDED COHOMOLOGY GROUP OF PRODUCT OF GROUPS

• Park, HeeSook (Department of Mathematics Education, SunChon National University)
• Accepted : 2019.04.19
• Published : 2019.09.25
• 76 19

Abstract

In this paper, for discrete groups G and K, we show that the bounded cohomology group of $G{\times}K$ is isomorphic to the cohomology group of the complex of the projective tensor product $B^*(G){\hat{\otimes}}B^*(K)$, where $B^*(G)$ and $B^*(G)$ are the complexes of bounded cochains with real coefficients ${\mathbb{R}}$ of G and K, respectively.

Keywords

bounded cohomology;tensor product;relatively injective

References

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