{"product_id":"introduction-to-l2-invariants-9783030282974","title":"Introduction to l2-invariants","description":"\u003cp\u003eThis 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.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52929390117143,"sku":null,"price":6072.63,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030282974.jpg?v=1781603466","url":"https:\/\/payment.letskitaboo.com\/te\/products\/introduction-to-l2-invariants-9783030282974","provider":"Kitaboo One eStore","version":"1.0","type":"link"}