摘要
Controlled K-theory is used to show that algebraic K-theory of a group mapping to a virtually abelian group is described by an assembly map defined using hyperelementary subgroups (possibly infinite) of the target group. These subgroups are virtually cyclic, so the result is a refinement of the (fibered) Farrell-Jones conjecture that K-theory conies from virtually cyclic groups. A corollary is that for any group, the Farrell-Jones conjecture is equivalent to this refined version.
- 出版日期2012-1
- 单位Virginia Tech; 美国弗吉尼亚理工大学(Virginia Tech)