Introduction to ℓ²-invariants (Record no. 21748)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03227nam a22005535i 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200701170759.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 191029s2019 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783030282974 |
| -- | 978-3-030-28297-4 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 514.2 |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Kammeyer, Holger. |
| 245 10 - TITLE STATEMENT | |
| Title | Introduction to ℓ²-invariants |
| Statement of responsibility, etc | by Holger Kammeyer. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2019. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | VIII, 183 p. 37 illus. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Lecture Notes in Mathematics, |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Algebraic topology. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Manifolds (Mathematics). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Complex manifolds. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Functional analysis. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Group theory. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Algebraic Topology. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Manifolds and Cell Complexes (incl. Diff.Topology). |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Functional Analysis. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Group Theory and Generalizations. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/978-3-030-28297-4 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | EBooks |
| 037 ## - SOURCE OF ACQUISITION | |
| Source of stock number/acquisition | Indica Technologies & Services Pvt. Ltd., 7/31, Ansari Road, Daryaganj, New Delhi-110002 |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2019. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| -- | http://scigraph.springernature.com/things/product-market-codes/M28019 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| -- | http://scigraph.springernature.com/things/product-market-codes/M28027 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12066 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11078 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 0075-8434 ; |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 912 ## - | |
| -- | ZDB-2-LNM |
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