Metric Kaplansky conjecture for bounded metric groups
Let KKK be a finite field, let ε>0\varepsilon>0ε>0 and N∈NN\in\mathbb{N}N∈N. For a metric group (G,∥⋅∥)(G,\|\cdot\|)(G,∥⋅∥) with ∥⋅∥≤1\|\cdot\|\leq 1∥⋅∥≤1, let K[G]K[G]K[G] be its group ring, let l(a)l(a)l(a) denote the…