3 papers
math.AT2026
Cocycles and positive functionals in higher cohomology
Antonio López Neumann, Piotr W. Nowak
We establish and explore the correspondence between positive functionals and cocycles in higher unitary cohomology. We generalize the classical cocycle version of the Gelfand-Naima…
math.GR2026
On growth of cocycles of isometric representations on -spaces
Antonio López Neumann, Juan Paucar
We study different notions of asymptotic growth for 1-cocycles of isometric representations on Banach spaces. One can see this as a way of quantifying the absence of fixed point pr…
math.GR2026
Quantitative polynomial cohomology and applications to -measure equivalence
Antonio López Neumann, Juan Paucar
We introduce a quantitative version of polynomial cohomology for discrete groups and show that it coincides with usual group cohomology when combinatorial filling functions are pol…