Simplicial volume of manifolds with amenable fundamental group at infinity
Simplicial volume of manifolds with amenable fundamental group at infinity
Abstract We show that for $n \neq 1,4$ , the simplicial volume of an inward tame triangulable open $n$ -manifold $M$ with amenable fundamental group at infinity at each end is finite; moreover, we show that if also $\pi _1(M)$ is amenable, then the simplicial volume of $M$ vanishes. We …