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Wir sind gerne für Sie daThis 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.
Produkteigenschaften
- Artikelnummer: 9783030282967
- Medium: Buch
- ISBN: 978-3-030-28296-7
- Verlag: Birkhäuser
- Erscheinungstermin: 31.10.2019
- Sprache(n): Englisch
- Auflage: 1. Auflage 2019
- Serie: Lecture Notes in Mathematics
- Produktform: Kartoniert, Paperback
- Gewicht: 300 g
- Seiten: 183
- Format (B x H x T): 155 x 235 x 11 mm
- Ausgabetyp: Kein, Unbekannt