Introduction to ℓ²-invariants

• Main Author: Kammeyer, Holger (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Lecture Notes in Mathematics, 2247
• Subjects: Algebraic topology.; Manifolds (Mathematics).; Complex manifolds.; Functional analysis.; Group theory.; Algebraic Topology.; Manifolds and Cell Complexes (incl. Diff.Topology).; Functional Analysis.; Group Theory and Generalizations.

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 numbers are defined and their use is illustrated by several examples. The text continues with Atiyah's question on...