Hyperelementary Induction for K-theory of Virtually Abelian Groups
نویسندگان
چکیده
Controlled K-theory is used to show that algebraic K-theory of virtually abelian groups is described by an assembly map defined using possibly-infinite hyperelementary subgroups. The Farrell-Jones summand (coming from infinite subgroups) is parameterized by the rational projective space of the group.
منابع مشابه
Hyperelementary Assembly for K-theory of Virtually Abelian Groups
Controlled K-theory is used to show that algebraic K-theory of virtually abelian groups is described by an assembly map defined using possibly-infinite hyperelementary subgroups. The part coming from infinite subgroups is called the Farrell-Jones summand. This is shown to split from the finite-isotropy part; is parameterized by the rational projective space of the group; and a reduced version i...
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