Titlebook: Ergodic Theoretic Methods in Group Homology; A Minicourse on L2-B Clara L?h Book 2020 The Author(s), under exclusive license to Springer Na

kidney

GREEN

The von Neumann Dimension,ion; this leads to .-Betti numbers. In this chapter, we will introduce such an equivariant version of dimension, using the group von Neumann algebra. In Chap.?., this dimension will allow us to define .-Betti numbers of groups and spaces.

MUTED

The Residually Nite View: Approximation,rings. We explain the (spectral) proof of this approximation theorem and briefly discuss the relation with other (homological) gradient invariants. This residually finite view will be complemented by the dynamical view in Chap. . and the approximation theorems for lattices in Chap. ..

雜役

創(chuàng)造性

Invariant Random Subgroups,in the statement of the theorem and two instructive examples. We will then sketch how ergodic theory, in the incarnation of invariant random subgroups, helps to handle such homology gradients and outline the structure of the proof of the theorem.

gastritis

發(fā)炎

Redouane Choukr-Allah,Ragab Ragabrings. We explain the (spectral) proof of this approximation theorem and briefly discuss the relation with other (homological) gradient invariants. This residually finite view will be complemented by the dynamical view in Chap. . and the approximation theorems for lattices in Chap. ..

冰河期

思鄉(xiāng)病

陳腐思想