Mapping spaces and automorphism groups of toric noncommutative spaces
  We develop a sheaf theory approach to toric noncommutative geometry which allows us to formalize the concept of mapping spaces between two toric noncommutative spaces. As an application we study the `internalized' automorphism group of a toric noncommutative space and show that its Lie algebra has an elementary description in terms of braided derivations. 
Gwendolyn E. Barnes, Alexander Schenkel, Richard J. Szabo
math.QA hep-th math-ph math.CT math.MP