K-Homology, Assembly and Rigidity Theorems for Relative Eta Invariants
K-Homology, Assembly and Rigidity Theorems for Relative Eta Invariants
We connect the assembly map in C * -algebra K-theory to rigidity properties for relative eta invariants that have been investigated by Mathai, Keswani, Weinberger and others.We give a new and conceptual proof of Keswani's theorem that whenever the C * -algebra assembly map is an isomorphism, the relative eta …