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- W3001297029 abstract "We study Chern characters and the assembly mapping for free actions using the framework of geometric K-homology. The focus is on the relative groups associated with a group homomorphism phi: Gamma(1) -> Gamma(2) along with applications to Novikov type properties. In particular, we prove a relative strong Novikov property for homomorphisms of hyperbolic groups and a relative strong l(1)-Novikov property for polynomially bounded homomorphisms of groups with polynomially bounded cohomology in C. As a corollary, relative higher signatures on a manifold with boundary W, with pi(1)(partial derivative W) -> pi(1) (W) belonging to the class above, are homotopy invariant." @default.
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- W3001297029 date "2019-01-01" @default.
- W3001297029 modified "2023-09-23" @default.
- W3001297029 title "Relative geometric assembly and mapping cones Part II: Chern characters and the Novikov property" @default.
- W3001297029 doi "https://doi.org/10.17879/85169762441" @default.
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