Hecke Operators on Stable Cohomology

We prove that the completed cohomology groups of SL_N(Z) in fixed degree stabilize as N goes to infinity. We also prove that the action of Hecke operators on stable cohomology is trivial, in a precisely defined sense.

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Bibliographic Details
Published in:arXiv.org 2013-11
Main Authors: Calegari, Frank, Emerton, Matthew
Format: Article
Language:English
Subjects:
Homology
Operators
Online Access:Get full text
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Description
Summary:We prove that the completed cohomology groups of SL_N(Z) in fixed degree stabilize as N goes to infinity. We also prove that the action of Hecke operators on stable cohomology is trivial, in a precisely defined sense.
ISSN:2331-8422