Introduction to ℓ²-invariants / by Holger Kammeyer.

Unlimited

Authorized users

Can lend chapters, not whole ebooks

Introduction to ℓ²-invariants / by Holger Kammeyer.

9783030282974 (electronic book)
303028297X (electronic book)
9783030282967

Cham : Springer, 2019.

English

1 online resource (viii, 183 pages) : illustrations.

10.1007/978-3-030-28

QA201

514.2

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 possible values of ℓ²-Betti numbers and the relation to Kaplansky's zero divisor conjecture. The general definition of ℓ²-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 ℓ²-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.graduate students and researchers will find it useful for self-studying or as basis for an advanced lecture course.

Access limited to authorized users.

Lecture notes in mathematics (Springer-Verlag) ; 2247.

Online Resources > Ebooks
All Resources