8 edition of **L2-Invariants** found in the catalog.

- 328 Want to read
- 30 Currently reading

Published
**September 17, 2002**
by Springer
.

Written in English

- Algebraic topology,
- Analytic geometry,
- Group Theory,
- Algebras,
- Riemannian Manifolds,
- Mathematics,
- Textbooks,
- Geometry - Algebraic,
- Science/Mathematics,
- Algebra - General,
- General,
- Geometry - Analytic,
- Mathematics / Algebra / General,
- Geometry - Differential

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 610 |

ID Numbers | |

Open Library | OL9057734M |

ISBN 10 | 3540435662 |

ISBN 10 | 9783540435662 |

Review of classical L2-invariants Let G!X!X be a G-covering of a connected ﬁnite CW-complex X. The cellular chain complex of X is a ﬁnitely generated free. The book represents the state of the art in synthetic differential topology and will be of interest to researchers in topos theory and to mathematicians interested in the categorical foundations of differential geometry and topology. invariant random subgroups and L2-invariants, and a brief account of the Burger–Mozes construction of.

An illustration of an open book. Books. An illustration of two cells of a film strip. Video. An illustration of an audio speaker. Audio. An illustration of a " floppy disk. Approximating L2-invariants, and the Atiyah conjecture Item Preview remove-circle Share or Embed This Item. L2-Invariants: Theory and Applications to Geometry and K-Theory (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics) (v. 44) Fixed Point Theory and Applications (Cambridge Tracts in Mathematics).

L2-Invariants: Theory and Applications to Geometry and K-Theory (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics) (v. 44) Analysis in Banach Spaces: Volume I: Martingales and Littlewood-Paley Theory (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. L2-invariants and operator Algebras Lecture 2: L2Betti numbers for algebras. Dimitri Shlyakhtenko (UCLA) – Typeset by FoilT E X –.

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These new L2-invariants contain very interesting and novel information and can be applied to L2-Invariants book arising in topology, K-Theory, differential geometry, non-commutative geometry and spectral theory. The book, written in an accessible manner, presents a comprehensive introduction to this area of research, as well as its most recent results Cited by: These new L2-invariants contain very interesting and novel information and can be applied to problems arising in topology, K-Theory, differential geometry, non-commutative geometry and spectral theory.

It is particularly these interactions with different fields that make L2-invariants very powerful and exciting. Middle Algebraic K-Theory and L-Theory of von Neumann Algebras.- The Atiyah Conjecture.- The Singer Conjecture.- The Zero-in-the-Spectrum Conjecture.- The Approximation Conjecture and the Determinant Conjecture.- L2-Invariants and the Simplicial Volume.- Survey on Other Topics Related to L2-Invariants.- Solutions.

"The book under review represents a fundamental monograph on the theory of L 2-invariants. To a great extent, it is self-contained.

The book is very clearly written, it contains many examples and L2-Invariants book can find exercises at the end of each chapter. At many places in the book, the reader will find hints for further research. The book presents a comprehensive L2-Invariants book to this area of research, as well as its most recent results and developments.

It is written in a way which enables the reader to pick out a favourite topic and to find the result she or he is interested in quickly and without being forced to go through other material.

The purpose of this book is to convince the reader that L2-invariants do satisfy these criteria and to give a comprehensible and detailed approach to them which includes the most recent developments.

Preface VII A User’s Guide We have tried to write this book in a way which enables the reader to pick. Cite this chapter as: Lück W. () L 2-Invariants of Symmetric : L2-Invariants: Theory and Applications to Geometry and K-Theory.

Ergebnisse der Mathematik und ihrer Grenzgebiete (A Series of Modern Surveys in Mathematics), vol L2-Invariants: Theory and Applications to Geometry and K-Theory. Book. Jan ; Wolfgang Lueck to show that certain manifolds obtained by surgeries on bindings of open books carry tight.

L2-invariants Proceeds quickly to the research level after thoroughly covering all the basics Contains many motivating examples, illustrations, and exercises This book introduces the reader to the most important concepts and problems in the field of 2-invariants.

After some foundational material on group von Neumann algebras, L2-Betti numbers. This book exposes methods of non-abelian homological algebra, such as the theory of satellites in abstract categories with respect to presheaves of categories and the theory of non-abelian derived functors of group valued functors.

These new L2-invariants contain very interesting and novel information and can be applied to problems arising. L2-invariants of nonuniform lattices in semisimple Lie groups the book is a self-contained reference aimed at graduate students and research mathematicians interested in the applications of.

We define extensions of the L 2-analytic invariants of closed manifolds, called delocalized L delocalized invariants are constructed in terms of a nontrivial conjugacy class of the fundamental group.

We show that in many cases, they are topological in nature. Wolfgang Luc k L2-Invariants: Theory and Applications to Geometry and K-Theory SPIN Springer’s internal project number, if known Mathematics { Monograph (English) Febru We study how the genus, the simplicial volume and the L 2-Alexander invariant of Li and Zhang can detect individual knots among all particular, we use various techniques coming from hyperbolic geometry and topology to prove that the L 2-Alexander invariant contains strictly more information than the pair (genus, simplicial volume).Along the way, we prove that the L 2-Alexander.

An introduction to lattices, invariant random subgroups and L2-invariants, and a brief account of the Burger–Mozes construction of simple lattices are also included. A final chapter collects various problems suggesting future research directions.

Book summary views reflect the number of visits to the book and chapter landing pages. Total. From the reviews: "The book under review represents a fundamental monograph on the theory of L2-invariants. â€¦ To a great extent, it is self-contained.

â€¦ The book is very clearly written, it contains many examples and we can find exercises at the end of each chapter. â€¦ At many places in the book, the reader will find hints for further research. â€¦ The book will be of. L2-Invariants: Theory and Applications to Geometry and K-Theory (Ergebnisse der Mathematik und ihrer Grenzgebiete.

Folge / A Series of Modern Surveys in Mathematics) (v. 44) (nd Edition) by Wolfgang Lück, Wolfgang Luck, Wolfgang Lç Ck, Hans S. Burchard, Wolfgang Lck Hardcover, Pages, Published Abstract: We give a survey on L^2-invariants such as L^2-Betti numbers and L^2-torsion taking an algebraic point of view.

We discuss their basic definitions, properties and applications to problems arising in topology, geometry, group theory and K-theory.

Lück, L2-Invariants: Theory and Applications to Geometry and K-Theory, Ergebnisse der Mathematik und ihrer Grenzgebiete. Folge. A Series of Modern Surveys in Mathematics, Vol. 44 [Results in Mathematics and Related Areas.

3rd Series. Free 2-day shipping. Buy Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. Folge /: L2-Invariants: Theory and Applications to Geometry and K-Theory (Hardcover) at.

Mathematics Unlimited - and Beyond" is a book guaranteed to delight the reader. This veritable treasure trove not only depicts the state of mathematics at the end of the century, but is also full of remarkable insights into its future development as we enter a new millennium.This book presents a selection of invited lectures presented at the New York Number Theory Seminar during These papers cover wide areas of Number Theory, particularly modular functions, Aigebraic and Diophantine Geometry, and Computational Number Theory.

The review of C-L. Chai presents a broad view of the moduli of Abelian varieties.Chapter 1 Introduction to L2-invariants The subject of L2-invariants deals, very roughly, with measuring the size of ho- mological objects relative to an action of a tracial von Neumann algebra.

The philosophy is that although these homology modules may be very big and per.