A Groupoid Approach to C*-Algebras PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download A Groupoid Approach to C*-Algebras PDF full book. Access full book title A Groupoid Approach to C*-Algebras by Jean Renault. Download full books in PDF and EPUB format.
Author: Jean Renault
Publisher: Springer
ISBN: 3540392181
Category : Mathematics
Languages : en
Pages : 164
Get Book Here
Book Description
Author: Jean Renault
Publisher: Springer
ISBN: 3540392181
Category : Mathematics
Languages : en
Pages : 164
Get Book Here
Book Description
Author: Jean Nicolas Renault
Publisher:
ISBN:
Category : C*-algebras
Languages : en
Pages : 450
Get Book Here
Book Description
Author: Alberto E. Marrero
Publisher:
ISBN:
Category : C*-algebras
Languages : en
Pages : 248
Get Book Here
Book Description
Author: Ruy Exel
Publisher: Springer Nature
ISBN: 3031055136
Category : Mathematics
Languages : en
Pages : 161
Get Book Here
Book Description
This book develops tools to handle C*-algebras arising as completions of convolution algebras of sections of line bundles over possibly non-Hausdorff groupoids. A fundamental result of Gelfand describes commutative C*-algebras as continuous functions on locally compact Hausdorff spaces. Kumjian, and later Renault, showed that Gelfand's result can be extended to include non-commutative C*-algebras containing a commutative C*-algebra. In their setting, the C*-algebras in question may be described as the completion of convolution algebras of functions on twisted Hausdorff groupoids with respect to a certain norm. However, there are many natural settings in which the Kumjian–Renault theory does not apply, in part because the groupoids which arise are not Hausdorff. In fact, non-Hausdorff groupoids have been a source of surprising counterexamples and technical difficulties for decades. Including numerous illustrative examples, this book extends the Kumjian–Renault theory to a much broader class of C*-algebras. This work will be of interest to researchers and graduate students in the area of groupoid C*-algebras, the interface between dynamical systems and C*-algebras, and related fields.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 81
Get Book Here
Book Description
Author: D. E. Blair
Publisher: Springer
ISBN: 3540381546
Category : Mathematics
Languages : en
Pages : 153
Get Book Here
Book Description
Author: A. A. Ambily
Publisher: Springer Nature
ISBN: 9811516111
Category : Mathematics
Languages : en
Pages : 340
Get Book Here
Book Description
The book offers a comprehensive introduction to Leavitt path algebras (LPAs) and graph C*-algebras. Highlighting their significant connection with classical K-theory—which plays an important role in mathematics and its related emerging fields—this book allows readers from diverse mathematical backgrounds to understand and appreciate these structures. The articles on LPAs are mostly of an expository nature and the ones dealing with K-theory provide new proofs and are accessible to interested students and beginners of the field. It is a useful resource for graduate students and researchers working in this field and related areas, such as C*-algebras and symbolic dynamics.
Author: Alan Paterson
Publisher: Springer Science & Business Media
ISBN: 1461217741
Category : Mathematics
Languages : en
Pages : 286
Get Book Here
Book Description
In recent years, it has become increasingly clear that there are important connections relating three concepts -- groupoids, inverse semigroups, and operator algebras. There has been a great deal of progress in this area over the last two decades, and this book gives a careful, up-to-date and reasonably extensive account of the subject matter. After an introductory first chapter, the second chapter presents a self-contained account of inverse semigroups, locally compact and r-discrete groupoids, and Lie groupoids. The section on Lie groupoids in chapter 2 contains a detailed discussion of groupoids particularly important in noncommutative geometry, including the holonomy groupoids of a foliated manifold and the tangent groupoid of a manifold. The representation theories of locally compact and r-discrete groupoids are developed in the third chapter, and it is shown that the C*-algebras of r-discrete groupoids are the covariance C*-algebras for inverse semigroup actions on locally compact Hausdorff spaces. A final chapter associates a universal r-discrete groupoid with any inverse semigroup. Six subsequent appendices treat topics related to those covered in the text. The book should appeal to a wide variety of professional mathematicians and graduate students in fields such as operator algebras, analysis on groupoids, semigroup theory, and noncommutative geometry. It will also be of interest to mathematicians interested in tilings and theoretical physicists whose focus is modeling quasicrystals with tilings. An effort has been made to make the book lucid and 'user friendly"; thus it should be accessible to any reader with a basic background in measure theory and functional analysis.
Author: Pierre Dazord
Publisher: Springer Science & Business Media
ISBN: 1461397197
Category : Mathematics
Languages : en
Pages : 318
Get Book Here
Book Description
The papers, some of which are in English, the rest in French, in this volume are based on lectures given during the meeting of the Seminare Sud Rhodanien de Geometrie (SSRG) organized at the Mathematical Sciences Research Institute in 1989. The SSRG was established in 1982 by geometers and mathematical physicists with the aim of developing and coordinating research in symplectic geometry and its applications to analysis and mathematical physics. Among the subjects discussed at the meeting, a special role was given to the theory of symplectic groupoids, the subject of fruitful collaboration involving geometers from Berkeley, Lyon, and Montpellier.
Author: Marcel de Jeu
Publisher: American Mathematical Soc.
ISBN: 0821847473
Category : Mathematics
Languages : en
Pages : 329
Get Book Here
Book Description
This volume contains the proceedings of a Leiden Workshop on Dynamical Systems and their accompanying Operator Structures which took place at the Lorentz Center in Leiden, The Netherlands, on July 21-25, 2008. These papers offer a panorama of selfadjoint and non-selfadjoint operator algebras associated with both noncommutative and commutative (topological) dynamical systems and related subjects. Papers on general theory, as well as more specialized ones on symbolic dynamics and complex dynamical systems, are included.
