⋆-Cohomology, Connes–Chern Characters, and Anomalies in General Translation-Invariant Noncommutative Yang–Mills

Abstract

Topological structure of translation-invariant noncommutative Yang–Mills theories are studied by means of a cohomology theory, the so-called ⋆-cohomology, which plays an intermediate role between de Rham and cyclic (co)homology theory for noncommutative algebras and gives rise to a cohomological formulation comparable to Seiberg–Witten map.