The ℓ¹-Bass conjecture for all discrete groups

Formal proof listed 2 papers September 24, 2026
What the paper claims, in its own words

Proves the ℓ1-Bass conjecture for every discrete group: Hattori–Stallings traces of idempotent matrices over ℓ1(G)\ell^1(G) are supported on finitely many finite-order conjugacy classes. The algebraic companion proves the integral Bass trace conjecture and Kaplansky's idempotent conjecture for torsion-free groups over every commutative unital characteristic-zero domain.

The plain-language explainer for this entry is still coming.

The original papers (2)