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math.OA2026
The pure infiniteness transfer problem
Arindam Sutradhar
Problem 8.4 of Pino, Goodearl, Perera and Molina in [arxiv.org/abs/0806.4156] asks whether a dense subalgebra of a -algebra that is purely infinite as a ring force…
math.RA2026
Commutators of finite multiplicative order
Arijit Mukherjee, Gobinda Sau, Arindam Sutradhar
This article studies the equation $[A,B]^k = \Id_n$ for matrices over $\CC$,characterizing the pairs for which solutions exist via a classical result of Lam and Leung on su…