Introduction to l2 invariants is popular PDF and ePub book, written by Holger Kammeyer in 2019-10-29, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Introduction to l2 invariants can be Read Online from any device for your convenience.
Introduction to l2 invariants Book PDF Summary
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.
Detail Book of Introduction to l2 invariants PDF
- Author : Holger Kammeyer
- Release : 29 October 2019
- Publisher : Springer Nature
- ISBN : 9783030282974
- Genre : Mathematics
- Total Page : 190 pages
- Language : English
- PDF File Size : 19,8 Mb
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