The topic of this book is 3-manifold groups, that is, fundamental groups of compact 3-
manifolds. This class of groups sits between the class of fundamental groups of surfaces …

Let X be a finite connected CW-complex. Suppose that its fundamental group π is residually
finite, ie there is a nested sequence...⊂ Г m+ 1⊂ Г m⊂...⊂ π of in π normal subgroups of …

There is the general principle to consider a classical invariant of a closed Riemannian
manifold M and to define its analog for the universal covering M taking the action of the …

We show that a non-trivial finitely generated residually finite rationally solvable (or RFRS)
group $ G $ is virtually fibred, in the sense that it admits a virtual surjection to $\mathbb {Z} …

Associated to any finite flag complex L there is a right-angled Coxeter group WL and a
cubical complex Σ L on which WL acts properly and cocompactly. Its two most salient …

On a question of Atiyah Page 1 CR Acad. Sci. Paris, t. 331, Série I, p. 663–668, 2000
Théorie des groupes/Group Theory (Géométrie différentielle/Differential Geometry) On a …

We define for arbitrary modules over a finite von Neumann algebra a dimension taking
values in 0, which extends the classical notion of von Neumann dimension for finitely …

It is an old and natural idea to try to distinguish finitely presented groups via their finite
quotients, and recently, there has been renewed interest, especially in the light of recent …

This book introduces the reader to the most important concepts and problems in the field of
l2-invariants. After some foundational material on group von Neumann algebras, l2-Betti …

Suppose ̄M is a compact connected odd-dimensional manifold with boundary, whose
interior M comes with a complete hyperbolic metric of finite volume. We will show that the …