Product Information
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 Luck'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.Product Identifiers
PublisherSpringer Nature Switzerland Ag
ISBN-139783030282967
eBay Product ID (ePID)26046455232
Product Key Features
Publication NameIntroduction to (2) -Invariants
SubjectMathematics
Publication Year2019
TypeTextbook
FormatPaperback
LanguageEnglish
AuthorHolger Kammeyer
Number of Pages183 Pages
Dimensions
Item Height235 mm
Item Weight302 g
Item Width155 mm
Volume2247
Additional Product Features
Country/Region of ManufactureSwitzerland
Title_AuthorHolger Kammeyer
Series TitleLecture Notes in Mathematics