Geodesic
Simplicial volume of manifolds with amenable fundamental group at infinity
Glasgow mathematical journal, Tome 66 (2024) no. 3, pp. 563-570

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DOI

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 show that the same result holds for finitely-many-ended triangulable manifolds which are simply connected at infinity.
DOI : 10.1017/S0017089524000107
Mots-clés : Simplicial volume, amenable fundamental group at infinity 
Bargagnati, Giuseppe. Simplicial volume of manifolds with amenable fundamental group at infinity. Glasgow mathematical journal, Tome 66 (2024) no. 3, pp. 563-570. doi: 10.1017/S0017089524000107
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     title = {Simplicial volume of manifolds with amenable fundamental group at infinity},
     journal = {Glasgow mathematical journal},
     pages = {563--570},
     year = {2024},
     volume = {66},
     number = {3},
     doi = {10.1017/S0017089524000107},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089524000107/}
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