Splitting with Continuous Control in Algebraic K-Theory
نویسندگان
چکیده
منابع مشابه
Splitting with Continuous Control in Algebraic K-theory
In this work, the continuously controlled assembly map in algebraic K-theory, as developed by Carlsson and Pedersen, is proved to be a split injection for groups Γ that satisfy certain geometric conditions. The group Γ is allowed to have torsion, generalizing a result of Carlsson and Pedersen. Combining this with a result of John Moody, K0(kΓ) is proved to be isomorphic to the colimit of K0(kH)...
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In this work, the assembly map in L-theory for the family of finite subgroups is proven to be a split injection for a class of groups. Groups in this class, including virtually polycyclic groups, have universal spaces that satisfy certain geometric conditions. The proof follows the method developed by Carlsson-Pedersen to split the assembly map in the case of torsion free groups. Here, the cont...
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ژورنال
عنوان ژورنال: K-Theory
سال: 2004
ISSN: 1573-0514,0920-3036
DOI: 10.1023/b:kthe.0000037563.35102.0d