2023/03/02 by Nadareishvili, George
#Category Theory (math.CT) #FOS: Mathematics #Operator Algebras (math.OA)
paper · doi:10.48550/arxiv.2303.01281
This survey article on relative homological algebra in bivariant K-thoery is mainly intended for readers with a background knowledge in triangulated categories. We briefly recall the general theory of relative homological algebra in triangulated categories and latter specialize it to the non-equivariant and the equivariant bivariant K-thoery, where the actions on C*-algebras is by a finite cyclic group. We conclude by the explicit computation of the universal abelian invariant for separable C*-algebras with the action of ℤ/4 by automorphisms.