EAN: 9783030282967

Bilder-Quelle: discount24.de - Sport-Freizeit

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.

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28.03.2025 um 03:43 Uhr

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