Abstract
In this paper, we answer in the affirmative the long-standing conjecture that the first cohomology group of the Murray–von Neumann algebra
Acknowledgements
The authors thank J. Huang, G. Levitina and D. Zanin for detailed verification of the result presented in the present paper and useful comments concerning its exposition. We are indebted to the Referee for valuable suggestions and comments, which helped to improve our paper.
References
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Artikel in diesem Heft
- Frontmatter
- Counting, equidistribution and entropy gaps at infinity with applications to cusped Hitchin representations
- p-adic polylogarithms and p-adic Hecke L-functions for totally real fields
- Rational points on fibrations with few non-split fibres
- Polar foliations on symmetric spaces and mean curvature flow
- A remark on two notions of flatness for sets in the Euclidean space
- Bergman–Szegő kernel asymptotics in weakly pseudoconvex finite type cases
- Geometry of positive scalar curvature on complete manifold
- Minimal hypersurfaces in manifolds of Ricci curvature bounded below
- Derivations of Murray–von Neumann algebras
Artikel in diesem Heft
- Frontmatter
- Counting, equidistribution and entropy gaps at infinity with applications to cusped Hitchin representations
- p-adic polylogarithms and p-adic Hecke L-functions for totally real fields
- Rational points on fibrations with few non-split fibres
- Polar foliations on symmetric spaces and mean curvature flow
- A remark on two notions of flatness for sets in the Euclidean space
- Bergman–Szegő kernel asymptotics in weakly pseudoconvex finite type cases
- Geometry of positive scalar curvature on complete manifold
- Minimal hypersurfaces in manifolds of Ricci curvature bounded below
- Derivations of Murray–von Neumann algebras