Communications of the Korean Mathematical Society (대한수학회논문집)

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COFINITE PROPER CLASSIFYING SPACES FOR LATTICES IN SEMISIMPLE LIE GROUPS OF ℝ-RANK 1

  • Received : 2016.10.23
  • Accepted : 2016.12.09
  • Published : 2017.07.31
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Abstract

The Borel-Serre partial compactification gives cofinite models for the proper classifying space for arithmetic lattices. Non-arithmetic lattices arise only in semisimple Lie groups of ${\mathbb{R}}$-rank one. The author generalizes the Borel-Serre partial compactification to construct cofinite models for the proper classifying space for lattices in semisimple Lie groups of ${\mathbb{R}}$-rank one by using the reduction theory of Garland and Raghunathan.

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References

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