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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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참고문헌 (48)
참고문헌 신청
H. Abels / 1978 / A universal proper G-space / Math. Z 159(2):143~158
A. Adem / 2003 / Twisted orbifold K-theory / Comm. Math. Phys 237(3):533~556
A. Bartels / 2004 / On the isomorphism conjecture in alge-braic K-theory / Topology 43(1):157~213
A. Bartels / 2007 / On the K-theory of groups with nite asymptotic dimen-sion / J. Reine Angew. Math 612:35~57
P. Baum / 1994 / C*-algebras: 1943-1993 / Amer. Math. Soc. :240~291
A. Adem / 2003 / Twisted orbifold K-theory / Comm. Math. Phys 237(3):533~556
A. Bartels / 2004 / On the isomorphism conjecture in alge-braic K-theory / Topology 43(1):157~213
A. Bartels / 2007 / On the K-theory of groups with nite asymptotic dimen-sion / J. Reine Angew. Math 612:35~57
P. Baum / 1994 / C*-algebras: 1943-1993 / Amer. Math. Soc. :240~291
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