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The Distributions in the Invariant Trace Formula Are Supported on Characters

Published online by Cambridge University Press:  20 November 2018

Robert E. Kottwitz
Affiliation:
Department of Mathematics, University of Chicago, 5734 University Avenue, Chicago, Illinois 60637, USA email: kottwitz@math.uchicago.edu
Jonathan D. Rogawski
Affiliation:
Department of Mathematics, University of California, Los Angeles, California 90095, USA email: jonr@math.ucla.edu
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Abstract

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J. Arthur put the trace formula in invariant form for all connected reductive groups and certain disconnected ones. However his work was written so as to apply to the general disconnected case, modulo two missing ingredients. This paper supplies one of those missing ingredients, namely an argument in Galois cohomology of a kind first used by D. Kazhdan in the connected case.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2000

References

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