Abstract: Z. Reichstein and N. Vonessen, "Torus actions on rings"

Zinovy Reichstein and Nikolaus Vonessen, Torus Actions on Rings, J. Algebra 170 (1994), 781-804.

Abstract.

We study torus actions on non-commutative rings, focusing on upper bounds on the dimensions of tori for which faithful actions are possible. We give sharp bounds for actions on algebras of generic matrices and their trace rings.