  This paper explores the possibility of using Maxwell algebra and its
generalizations called resonant algebras for the unified description of
topological insulators. We offer the natural action construction, which
includes the relativistic Wen-Zee and other terms, with adjustable coupling
constants. By gauging all available resonant algebras formed by Lorentz,
translational and Maxwell generators $\{J_a, P_a, Z_a\}$ we present six
Chern-Simons Lagrangians with various terms content accounting for different
aspects of the topological insulators.
  Additionally, we provide complementary actions for another invariant metric
form, which might turn out useful in some generalized (2+1) gravity models.
