Neu Erschienen: 01.11.2019 Abbildung von Kammeyer | Introduction to l²-invariants | 1st ed. 2019 | 2019 | 2247


Introduction to l²-invariants

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1st ed. 2019 2019. Buch. viii, 183 S. 37 s/w-Abbildungen, Bibliographien. Softcover

Springer. ISBN 978-3-030-28296-7

Format (B x L): 15,5 x 23,5 cm

Gewicht: 302 g

In englischer Sprache

Das Werk ist Teil der Reihe: Lecture Notes in Mathematics; 2247


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.


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