L^2 Homology of Groups and Consequences - Part I

L^2 Homology of Groups and Consequences - Part I

Explore the foundations of l^2 homology of groups in this comprehensive lecture from the Workshop on Geometry of Subgroups. Begin with a concise introduction to the general theory of homology of groups before delving into the definition of l^2 homology through actions on simplicial complexes. Gain insights into the computation of these homology groups through various examples, and discover the implications of vanishing l^2 homology invariants for group theorists. Enhance your understanding of this advanced mathematical concept as part of a broader workshop series on the geometry of subgroups, presented by Robert Kropholler at the Centre de recherches mathématiques.