This book introduces the reader to the most important concepts and problems in the field of ?²-invariants. After some foundational material on group von Neumann algebras, ?²-Betti numbers are defined and their use is illustrated by several examples. The text continues with Atiyah's question on possible values of ?²-Betti numbers and the relation to Kaplansky's zero divisor conjecture.
The general definition of ?²-Betti numbers allows for applications in group theory. A whole chapter is dedicated to Lück's approximation theorem and its generalizations. The final chapter deals with ?²-torsion, twisted variants and the conjectures relating them to torsion growth in homology.
The text provides a self-contained treatment that constructs the required specialized concepts from scratch. It comes with numerous exercises and examples, so that both graduate students and researchers will find it useful for self-study or as a basis for an advanced lecture course.
| ISBN: | 9783030282967 |
| Publication date: | 31st October 2019 |
| Author: | Holger Kammeyer |
| Publisher: | Springer Nature Switzerland AG |
| Format: | Paperback |
| Pagination: | 183 pages |
| Series: | Lecture Notes in Mathematics |
| Genres: |
Algebraic topology Topology Functional analysis and transforms Groups and group theory |
This book introduces the reader to the most important concepts and problems in the field of ?²-invariants. After some foundational material on group von Neumann algebras, ?²-Betti numbers are defined and their use is illustrated by several examples.
Introduction to ?²-invariants features in the following genres: Algebraic topology, Topology, Functional analysis and transforms, Groups and group theory
Paperback. £40.49, down from the £44.99 cover price. Not Available.
Introduction to ?²-invariants was written by Holger Kammeyer and published by Springer Nature Switzerland AG
Introduction to ?²-invariants has 183 pages
Yes it is part of Lecture Notes in Mathematics series
£40.49, reduced from £44.99. Not Available.