Introduction to ℓ²-invariants /
Saved in:
| Author / Creator: | Kammeyer, Holger. |
|---|---|
| Imprint: | Cham : Springer, 2019. |
| Description: | 1 online resource (viii, 183 pages) : illustrations |
| Language: | English |
| Series: | Lecture notes in mathematics ; 2247 Lecture notes in mathematics (Springer-Verlag) ; 2247. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11981943 |
MARC
| LEADER | 00000cam a2200000Ii 4500 | ||
|---|---|---|---|
| 001 | 11981943 | ||
| 005 | 20210625184953.3 | ||
| 006 | m o d | ||
| 007 | cr nn||||mamaa | ||
| 008 | 191031s2019 gw a o 000 0 eng d | ||
| 019 | |a 1126602738 | ||
| 020 | |a 9783030282974 |q (electronic bk.) | ||
| 020 | |a 303028297X |q (electronic bk.) | ||
| 020 | |z 9783030282967 | ||
| 024 | 8 | |a 10.1007/978-3-030-28 | |
| 035 | |a (OCoLC)1126005068 |z (OCoLC)1126602738 | ||
| 035 | 9 | |a (OCLCCM-CC)1126005068 | |
| 040 | |a LQU |b eng |e pn |c LQU |d GW5XE |d EBLCP |d OCLCF |d OCLCQ |d SRU | ||
| 049 | |a MAIN | ||
| 050 | 4 | |a QA201 | |
| 100 | 1 | |a Kammeyer, Holger. | |
| 245 | 1 | 0 | |a Introduction to ℓ²-invariants / |c by Holger Kammeyer. |
| 264 | 1 | |a Cham : |b Springer, |c 2019. | |
| 300 | |a 1 online resource (viii, 183 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics ; |v 2247 | |
| 520 | |a 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.graduate students and researchers will find it useful for self-studying or as basis for an advanced lecture course. | ||
| 650 | 0 | |a Invariants. |0 http://id.loc.gov/authorities/subjects/sh85067665 | |
| 650 | 7 | |a Invariants. |2 fast |0 (OCoLC)fst00977982 | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 2247. |0 http://id.loc.gov/authorities/names/n42015165 | |
| 903 | |a HeVa | ||
| 929 | |a oclccm | ||
| 999 | f | f | |i 091d3417-1522-5569-a24d-91e11ee08f72 |s ef11bf66-2aaf-5943-815a-4f0be831946f |
| 928 | |t Library of Congress classification |a QA201 |l Online |c UC-FullText |u https://link.springer.com/10.1007/978-3-030-28297-4 |z Springer Nature |g ebooks |i 12564982 | ||