Last edited by Malajar
Tuesday, July 28, 2020 | History

8 edition of On the C*-algebras of foliations in the plane found in the catalog.

On the C*-algebras of foliations in the plane

by Xiaolu Wang

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Published by Springer-Verlag in Berlin, New York .
Written in English

    Subjects:
  • C*-algebras.,
  • Foliations (Mathematics),
  • Differentiable dynamical systems.

  • Edition Notes

    StatementXiaolu Wang.
    SeriesLecture notes in mathematics ;, 1257, Lecture notes in mathematics (Springer-Verlag) ;, 1257.
    Classifications
    LC ClassificationsQA3 .L28 no. 1257, QA326 .L28 no. 1257
    The Physical Object
    Pagination165 p. :
    Number of Pages165
    ID Numbers
    Open LibraryOL2471488M
    ISBN 100387179038
    LC Control Number87183624

    Author: I_U_ri_ Petrovich Solov_ v Evgeni_ Vadimovich Troit_s_ki_ Publisher: American Mathematical Soc. ISBN: Size: MB Format: PDF, Mobi View: Get Books. C Algebras And Elliptic Operators In Differential Topology C Algebras And Elliptic Operators In Differential Topology by I_U_ri_ Petrovich Solov_ v Evgeni_ Vadimovich Troit_s_ki_, C Algebras And Elliptic Operators In. Chapter V. Global properties of complex polynomial foliations Algebraic leaves of polynomial foliations on the complex projective plane P2 Appendix: Foliations with invariant lines and algebraic leaves of foliations from the class A r Perturbations of Hamiltonian vector fields and zeros of Abelian integrals

    Methods of Noncommutative Geometry for Group C*-Algebras (Chapman & Hall/CRC Research Notes in Mathematics Series) The description of the structure of group C*-algebras is a difficult problem, but relevant to important new developments in mathematics, such as non-commutative geometry and quantum Rating: % positive.   Linear Topological Spaces,John L. KelleyIsaac NamiokaW. F. Donoghue h R. LucasB. J. PettisEbbe Thue PoulsenG. Baley PriceWendy RobertsonW. R. ScottKennan T.

    Tilings C algebras and K theory: Niveau: Supérieur, Doctorat, Bac+8Tilings, C?-algebras and K-theory Johannes Kellendonk and Ian F. Putnam Abstract. We describe the construction of C?-algebras from tilings. We describe the K-theory of such C?-algebras and discuss applications of these ideas in physics. We do not assume any familiarity with C?-algebras or K- theory. this geometry (and related C∗-algebras) will be the topic of present note. Namely, we study the pair of orthogonal foliations F1 and F2 on X0(N) whose leaves are ReωN = 0 and ImωN = 0, respectively. For brevity, we fix F = F1 and consider a “leaf space” Xof foliation F. Such spaces are fundamental in the C∗-algebra theory.


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On the C*-algebras of foliations in the plane by Xiaolu Wang Download PDF EPUB FB2

The main result of this original research monograph is the classification of C*-algebras of ordinary foliations of the plane in terms of a class of -trees.

It reveals a close connection between some most recent developments in modern analysis and low-dimensional topology. Buy On the C*-Algebras of Foliations in the Plane (Lecture Notes in Mathematics) on FREE SHIPPING on qualified orders On the C*-Algebras of Foliations in the Plane (Lecture Notes in Mathematics): Wang, Xiaolu: : BooksCited by: 6.

The main result of this original research monograph is the classification of C*-algebras of ordinary foliations of the plane in terms of a class of -trees. It reveals a close connection between some most recent developments in modern analysis and low-dimensional topology.

It introducesBrand: Springer-Verlag Berlin Heidelberg. Get this from a library. On the C*-algebras of foliations in the plane. [Xiaolu Wang] -- The main result of this original research monograph is the classification of C*-algebras of ordinary foliations of the plane in terms of a class of -trees.

It reveals a close connection between some. Foliations of the plane.- Various trees and graphs.- Distinguished trees.- The C*-algebras of foliations of the plane. Series Title: Lecture notes in mathematics (Springer-Verlag), Responsibility: Xiaolu Wang.

More information: Inhaltstext. Cite this chapter as: Wang X. () Foliations of the plane. In: On the C*-Algebras of Foliations in the Plane. Lecture Notes in Mathematics, vol ied the C*-algebras of foliations of the plane, which can be regarded as "noncommutative simply connected CW 1-complexes".

For simplicity. A very good place to start is Connes' book "Noncommutative Geometry", available for free on his website. It's a huge book, but it's possible to skip around quite a bit to get what you need. To begin, I'll remark that the foliations which are accessible to C*-algebraic techniques are generally smooth in the horizontal direction and integrable.

C*-algebras of all the ordinary foliations of the plane is known [12], while the same classification for all hyperbolic two-manifolds is a huge problem. In many cases using such a relation, the Connes conjecture [2] about A"-theory of foliations may reduce to that of simply connected manifolds.

(For instance, Example 9 below.). Book Description. The description of the structure of group C*-algebras is a difficult problem, but relevant to important new developments in mathematics, such as non-commutative geometry and quantum groups.

Although a significant number of new methods and results have been obtained, until now they have not been available in book form. THE C* -ALGEBRAS OF REEB FOLIATIONS ARE NOT AF-EMBEDDABLE THIERRY FACK AND XIAOLU WANG (Communicated by Palle E. Jorgensen) Abstract.

It is shown that the C*-algebras of Reeb foliations cannot be em-bedded into AF-algebras. A characterization of the C* -algebra of the Reeb foliation of the solid torus. Foliations What is a foliation and why is it interesting.

Question 1 (H. Hopf). Is there a completely integrable plane field on S3. (Plane field - two dimensional subbundle E ⊂ TS3). Answer 1 (G. Reeb). Yes, it is a tangent bundle to a 2-dimensional Reeb’s foliation of S3, described in the example ((6)).

Question 2 (A. Haefliger). "This excellent book was born out of the authors’ successful attempts to answer questions [like] ‘When is a compact convex set the state space of a C*-algebra?’ I would regard the book as essential reading for any graduate student working in C*-algebras and related areas, particularly those with.

C * -algebras by example, volume 6 of Fields Institute Monographs. American Mathematical Society, Providence, RI, Bivariant K-theory for Banach algebras and the Baum-Connes conjecture.

We define equivariant asymptotic morphisms between C 0 (X)-algebras and construct the category of homotopy classes of such on this category we construct the category of homotopy classes of asymptotic morphisms which are equivariant with respect to an action of a groupoid.

Motivated by index theory for semisimple groups, we study the relationship between the foliation C ⁎-algebras on manifolds admitting multiple fibrations. Let F 1,F r be a collection of smooth foliations of a manifold X. On the C*-Algebras of Foliations in the Plane Wang, Xiaolu (目前无人评价) Group Theory Kegel, Otto H.; Menegazzo, Federico; Zacher, Giovanni (目前无人评价) Geometric Topology and Shape Theory Mardesic, Sibe; Segal, Jack; (目前无人评价) K-Theory, Arithmetic and Geometry.

"This excellent book was born out of the authors' successful attempts to answer questions [like] 'When is a compact convex set the state space of a C*-algebra?' I would regard the book as essential reading for any graduate student working in C*-algebras and related areas, particularly those with an interest in geometry." --Zentralblatt Math.

The Index Theorem for Measured Foliations 64 Appendix A: Transverse Measures and Averaging Sequences 77 Appendix B: Abstract Transverse Measure Theory 78 Appendix C: Noncommutative Spaces and Set Theory 79 Chapter 2. Topology and K-Theory 84 1. C⁄-algebras and their K-theory 86 2.

Elementary Examples of Quotient Spaces 90 3. Destination page number Search scope Search Text Search scope Search Text.

This book presents Advanced Calculus from a geometric point of view: instead of dealing with partial derivatives of functions of several variables, the derivative of the function is treated as a linear transformation between normed linear spaces.

Not only does this lead to a simplified and transparent exposition of “difficult” results like.The book concludes with applications of operator algebras to Atiyah-Singer type index theorems. The purpose of the book is to convey an outline and general idea of operator algebra theory, to some extent focusing on examples.Author: Maurice J.

Dupré Publisher: American Mathematical Soc. ISBN: Size: MB Format: PDF View: Get Books. The Classification And Structure Of C Algebra Bundles The Classification And Structure Of C Algebra Bundles by Maurice J.

Dupré, The Classification And Structure Of C Algebra Bundles Books available in PDF, EPUB, Mobi Format. Download The Classification And.