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- W1619469148 abstract "We construct a map from the classifying space of a discrete Kac-Moody group over the algebraic closure of the field with p elements to the classifying space of a complex topological Kac-Moody group and prove that it is a homology equivalence at primes q different from p. This generalises a classical result of Quillen-Friedlander-Mislin for Lie groups. As an application, we construct unstable Adams operations for general Kac-Moody groups compatible with the Frobenius homomorphism. In contrast to the Lie case, the homotopy fixed points of these unstable Adams operations cannot be realized at q as the classifying spaces of Kac-Moody groups over finite fields. Our results rely on new integral homology decompositions for certain infinite dimensional unipotent subgroups of discrete Kac-Moody groups." @default.
- W1619469148 created "2016-06-24" @default.
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- W1619469148 date "2012-09-05" @default.
- W1619469148 modified "2023-09-27" @default.
- W1619469148 title "Comparing topological and arithmetic Kac-Moody groups" @default.
- W1619469148 hasPublicationYear "2012" @default.
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