2018/03/27 by Tron Omland, Omland, Tron
Mathematics · #20F18 #46L05 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Operator Algebras (math.OA)
paper · pdf · doi:10.48550/arxiv.1803.10208
openalex publication_date 2018/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The free nilpotent group Gm,n of class m and rank n is the free object on n generators in the category of nilpotent groups of class at most m. We show that Gm,n can be recovered from its reduced group C^*-algebra, in the sense that if H is any group such that C^*r(H) is isomorphic to C^*r(Gm,n), then H must be isomorphic to Gm,n.