[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b190547

THE KÜNNETH ISOMORPHISM IN BOUNDED COHOMOLOGY PRESERVING THE NORMS

Park, HeeSook (Department of Mathematics Education Sunchon National University)

Publication Information

Bulletin of the Korean Mathematical Society / v.57, no.4, 2020 , pp. 873-890 More about this Journal

Abstract

In this paper, for discrete groups G and K, we show that the cohomology of the complex of projective tensor product B*(G)⨶B*(K) is isomorphic to the bounded cohomology Ĥ*(G × K) of G × K, which is the cohomology of B*(G × K) as topological vector spaces, where B*(G) is a complex of bounded cochains of G with real coefficients ℝ. In fact, we construct an isomorphism between these two cohomology groups that carries the canonical seminorm in Ĥ*(G × K) to the seminorm in the cohomology of B*(G)⨶B*(K).

Keywords

Bounded cohomology; resolution;

Citations & Related Records

Times Cited By KSCI : 2 (Citation Analysis)

Reference
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