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Published February 25, 2014 | public
Journal Article

A note on the cohomology of the Langlands group

Abstract

We begin with a comparison of various cohomology theories for topological groups. Using the continuity result for Moore cohomology, we establish a Hochschild-Serre spectral sequence for a slightly larger class of groups. We use these properties to compute the cohomology of the Langlands group of a totally imaginary field. The appendix answers a question raised by Flach concerning the cohomological dimension of the group ℝ.

Additional Information

© 2014 American Mathematical Society. The copyright for this article reverts to public domain 28 years after publication. Received by editor(s): September 3, 2012. Received by editor(s) in revised form: June 12, 2013. Published electronically: February 25, 2014.

Additional details

Created:
August 19, 2023
Modified:
October 20, 2023