This book introduces the reader to the most important concepts and problems in the field of �-invariants. After some foundational material on group von Neumann algebras, �-Betti numbers are defined and their use is illustrated by several examples. The text continues with Atiyah's question on possible values of �-Betti numbers and the relation to Kaplansky's zero divisor conjecture. The general definition of �-Betti numbers allows for applications in group theory. A whole chapter is dedicated to L�ck's ...
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This book introduces the reader to the most important concepts and problems in the field of �-invariants. After some foundational material on group von Neumann algebras, �-Betti numbers are defined and their use is illustrated by several examples. The text continues with Atiyah's question on possible values of �-Betti numbers and the relation to Kaplansky's zero divisor conjecture. The general definition of �-Betti numbers allows for applications in group theory. A whole chapter is dedicated to L�ck's approximation theorem and its generalizations. The final chapter deals with �-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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Add this copy of Introduction to ²-Invariants to cart. $60.65, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2019 by Springer.
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