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Introduction to <U+2113>ø-invariants [electronic resource] / by Holger Kammeyer

Author
Kammeyer, Holger
Published
Cham : Springer International Publishing : Imprint: Springer, 2019.
Edition
1st ed. 2019.
Physical Description
VIII, 183 p. 37 illus. online resource
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SpringerLink (Online service)
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Summary
This book introduces the reader to the most important concepts and problems in the field of ø-invariants. After some foundational material on group von Neumann algebras, ø-Betti numbers are defined and their use is illustrated by several examples. The text continues with Atiyah's question on possible values of ø-Betti numbers and the relation to Kaplansky's zero divisor conjecture. The general definition of ø-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 ø-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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ISBN
9783030282974
9783030282967 (print)
9783030282981 (print)
Digital File Characteristics
text file PDF
Part Of
Springer eBooks
View MARC record | catkey: 28953289