Generalized Connes–Chern characters in<i>KK</i>-theory with an application to weak invariants of topological insulators
Generalized Connes–Chern characters in<i>KK</i>-theory with an application to weak invariants of topological insulators
We use constructive bounded Kasparov K-theory to investigate the numerical invariants stemming from the internal Kasparov products $K_i(\mathcal A) \times KK^i(\mathcal A, \mathcal B) \rightarrow K_0(\mathcal B) \rightarrow \mathbb R$, $i=0,1$, where the last morphism is provided by a tracial state. For the class of properly defined finitely-summable Kasparov $(\mathcal …