Simplicial volume via normalised cycles

Abstract

We show that the Connes-Consani semi-norm on singular homology with real coefficients, defined via s-modules, coincides with the ordinary ${\ell }^1$-semi-norm on singular homology in all dimensions.

arXiv comment4 pages, To appear in Proc. Amer. Math. Soc

References in corpus (1)

• $\overline{Spec\mathbb{Z}}$ and the Gromov norm