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Introduction to l²-invariants
Engelsk Paperback
Introduction to l²-invariants
Engelsk Paperback

429 kr
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Om denne bog
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.
Product detaljer
Sprog:
Engelsk
Sider:
183
ISBN-13:
9783030282967
Indbinding:
Paperback
Udgave:
ISBN-10:
3030282961
Udg. Dato:
31 okt 2019
Længde:
0mm
Bredde:
155mm
Højde:
235mm
Forlag:
Springer Nature Switzerland AG
Oplagsdato:
31 okt 2019
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