Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8966143 | Advances in Mathematics | 2018 | 21 Pages |
Abstract
We show that torsion-free finitely generated nilpotent groups are characterised by their group Câ-algebras and we additionally recover their nilpotency class as well as the subquotients of the upper central series. We then use a Câ-bundle decomposition and apply K-theoretic methods based on noncommutative tori to prove that every torsion-free finitely generated 2-step nilpotent group can be recovered from its group Câ-algebra.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Caleb Eckhardt, Sven Raum,