Splitting formulas for certain Waldhausen Nil-groups

Details Splitting formulas for certain Waldhausen Nil-groups Splitting formulas for certain Waldhausen Nil-groups

2007-11-15

arxiv.org/abs/0711.2533v1

J. London Math. Soc. 79 (2009), pgs. 309-322

Mathematics

K-Theory and Homology

12 pages

Scientific paper

For a group G that splits as an amalgamation of A and B over a common subgroup C, there is an associated Waldhausen Nil-group, measuring the "failure" of Mayer-Vietoris for algebraic K-theory. Assume that (1) the amalgamation is acylindrical, and (2) the groups A,B,G satisfy the Farrell-Jones isomorphism conjecture. Then we show that the Waldhausen Nil-group splits as a direct sum of Nil-groups associated to certain (explicitly describable) infinite virtually cyclic subgroups of G. We note that a special case of an acylindrical amalgamation includes any amalgamation over a finite group C.

Affiliated with

Also associated with

No associations

Rating

Splitting formulas for certain Waldhausen Nil-groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Splitting formulas for certain Waldhausen Nil-groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Splitting formulas for certain Waldhausen Nil-groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-3358