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Author : Emmanuel Claude Germain
Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.:/5 (33 download)
Download or read book KK-Theory of Reduced Free Product C*-algebras with Amalgamation Over C(X) written by Emmanuel Claude Germain and published by . This book was released on 1994 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Klaus Thomsen
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (248 download)
Download or read book On the KK-theory and the E-theory of Amalgamated Free Products of C*-algebras written by Klaus Thomsen and published by . This book was released on 2001 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : N. Christopher Phillips
Publisher : Springer
ISBN 13 : 354047868X
Total Pages : 380 pages
Book Rating : 4.5/5 (44 download)
Download or read book Equivariant K-Theory and Freeness of Group Actions on C*-Algebras written by N. Christopher Phillips and published by Springer. This book was released on 2006-11-15 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Freeness of an action of a compact Lie group on a compact Hausdorff space is equivalent to a simple condition on the corresponding equivariant K-theory. This fact can be regarded as a theorem on actions on a commutative C*-algebra, namely the algebra of continuous complex-valued functions on the space. The successes of "noncommutative topology" suggest that one should try to generalize this result to actions on arbitrary C*-algebras. Lacking an appropriate definition of a free action on a C*-algebra, one is led instead to the study of actions satisfying conditions on equivariant K-theory - in the cases of spaces, simply freeness. The first third of this book is a detailed exposition of equivariant K-theory and KK-theory, assuming only a general knowledge of C*-algebras and some ordinary K-theory. It continues with the author's research on K-theoretic freeness of actions. It is shown that many properties of freeness generalize, while others do not, and that certain forms of K-theoretic freeness are related to other noncommutative measures of freeness, such as the Connes spectrum. The implications of K-theoretic freeness for actions on type I and AF algebras are also examined, and in these cases K-theoretic freeness is characterized analytically.
Author : Herbert Schröder
Publisher : Chapman and Hall/CRC
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.3/5 (91 download)
Download or read book K-Theory for Real C*-Algebras and Applications written by Herbert Schröder and published by Chapman and Hall/CRC. This book was released on 1993-08-23 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Research Note presents the K-theory and KK-theory for real C*-algebras and shows that these can be successfully applied to solve some topological problems which are not accessible to the tools developed in the complex setting alone.
Author : Joachim Cuntz
Publisher : Birkhäuser
ISBN 13 : 9783319599144
Total Pages : 322 pages
Book Rating : 4.5/5 (991 download)
Download or read book K-Theory for Group C*-Algebras and Semigroup C*-Algebras written by Joachim Cuntz and published by Birkhäuser. This book was released on 2017-11-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an account of the necessary background for group algebras and crossed products for actions of a group or a semigroup on a space and reports on some very recently developed techniques with applications to particular examples. Much of the material is available here for the first time in book form. The topics discussed are among the most classical and intensely studied C*-algebras. They are important for applications in fields as diverse as the theory of unitary group representations, index theory, the topology of manifolds or ergodic theory of group actions. Part of the most basic structural information for such a C*-algebra is contained in its K-theory. The determination of the K-groups of C*-algebras constructed from group or semigroup actions is a particularly challenging problem. Paul Baum and Alain Connes proposed a formula for the K-theory of the reduced crossed product for a group action that would permit, in principle, its computation. By work of many hands, the formula has by now been verified for very large classes of groups and this work has led to the development of a host of new techniques. An important ingredient is Kasparov's bivariant K-theory. More recently, also the C*-algebras generated by the regular representation of a semigroup as well as the crossed products for actions of semigroups by endomorphisms have been studied in more detail. Intriguing examples of actions of such semigroups come from ergodic theory as well as from algebraic number theory. The computation of the K-theory of the corresponding crossed products needs new techniques. In cases of interest the K-theory of the algebras reflects ergodic theoretic or number theoretic properties of the action.
Author : Rune Eliasen
Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.:/5 (473 download)
Download or read book KK-theory of Amalgamated Freee Products of C*-algebras written by Rune Eliasen and published by . This book was released on 2003 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : N. Christopher Philipps
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (859 download)
Download or read book Equivariant K-theory and Freeness of Group Actions on C-algebras written by N. Christopher Philipps and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Herbert Schröder
Publisher : Halsted Press
ISBN 13 : 9780470221693
Total Pages : 162 pages
Book Rating : 4.2/5 (216 download)
Download or read book K-theory for Real C*-algebras and Applications written by Herbert Schröder and published by Halsted Press. This book was released on 1993 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Niels Erik Wegge-Olsen
Publisher : Oxford University Press on Demand
ISBN 13 : 9780198596943
Total Pages : 370 pages
Book Rating : 4.5/5 (969 download)
Download or read book K-theory and C*-algebras written by Niels Erik Wegge-Olsen and published by Oxford University Press on Demand. This book was released on 1993 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: K-theory is often considered a complicated mathematical theory for specialists only. This book is an accessible introduction to the basics and provides detailed explanations of the various concepts required for a deeper understanding of the subject. Some familiarity with basic C*algebra theory is assumed. The book then follows a careful construction and analysis of the operator K-theory groups and proof of the results of K-theory, including Bott periodicity. Of specific interest to algebraists and geometrists, the book aims to give full instruction. No details are left out in the presentation and many instructive and generously hinted exercises are provided. Apart from K-theory, this book offers complete and self contained expositions of important advanced C*-algebraic constructions like tensor products, multiplier algebras and Hilbert modules.
Author : Kenneth J. Dykema
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (461 download)
Download or read book Exactness of Reduced Amalgamated Free Products C*-algebras written by Kenneth J. Dykema and published by . This book was released on 1998 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kenneth J. Dykema
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (897 download)
Download or read book Exactness of Reduced Amalgamated Free Product $ C^ * $-algebras written by Kenneth J. Dykema and published by . This book was released on 1998 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wegge-Olsen
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (249 download)
Download or read book K-Theory and C*-Algebras ... written by Wegge-Olsen and published by . This book was released on 1993 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael Davis
Publisher : Princeton University Press
ISBN 13 : 0691131384
Total Pages : 601 pages
Book Rating : 4.6/5 (911 download)
Download or read book The Geometry and Topology of Coxeter Groups written by Michael Davis and published by Princeton University Press. This book was released on 2008 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint of geometric group theory. Groups generated by reflections are ubiquitous in mathematics, and there are classical examples of reflection groups in spherical, Euclidean, and hyperbolic geometry. Any Coxeter group can be realized as a group generated by reflection on a certain contractible cell complex, and this complex is the principal subject of this book. The book explains a theorem of Moussong that demonstrates that a polyhedral metric on this cell complex is nonpositively curved, meaning that Coxeter groups are "CAT(0) groups." The book describes the reflection group trick, one of the most potent sources of examples of aspherical manifolds. And the book discusses many important topics in geometric group theory and topology, including Hopf's theory of ends; contractible manifolds and homology spheres; the Poincaré Conjecture; and Gromov's theory of CAT(0) spaces and groups. Finally, the book examines connections between Coxeter groups and some of topology's most famous open problems concerning aspherical manifolds, such as the Euler Characteristic Conjecture and the Borel and Singer conjectures.
Author : F. R. Cohen
Publisher : Springer
ISBN 13 : 3540379851
Total Pages : 501 pages
Book Rating : 4.5/5 (43 download)
Download or read book The Homology of Iterated Loop Spaces written by F. R. Cohen and published by Springer. This book was released on 2007-01-05 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Halsey Royden
Publisher : Pearson Modern Classics for Advanced Mathematics Series
ISBN 13 : 9780134689494
Total Pages : 0 pages
Book Rating : 4.6/5 (894 download)
Download or read book Real Analysis (Classic Version) written by Halsey Royden and published by Pearson Modern Classics for Advanced Mathematics Series. This book was released on 2017-02-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is designed for graduate-level courses in real analysis. Real Analysis, 4th Edition, covers the basic material that every graduate student should know in the classical theory of functions of a real variable, measure and integration theory, and some of the more important and elementary topics in general topology and normed linear space theory. This text assumes a general background in undergraduate mathematics and familiarity with the material covered in an undergraduate course on the fundamental concepts of analysis.
Author : Emilio Lluis-Puebla
Publisher : Springer
ISBN 13 : 3540466398
Total Pages : 172 pages
Book Rating : 4.5/5 (44 download)
Download or read book Higher Algebraic K-Theory: An Overview written by Emilio Lluis-Puebla and published by Springer. This book was released on 2006-11-14 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a general introduction to Higher Algebraic K-groups of rings and algebraic varieties, which were first defined by Quillen at the beginning of the 70's. These K-groups happen to be useful in many different fields, including topology, algebraic geometry, algebra and number theory. The goal of this volume is to provide graduate students, teachers and researchers with basic definitions, concepts and results, and to give a sampling of current directions of research. Written by five specialists of different parts of the subject, each set of lectures reflects the particular perspective ofits author. As such, this volume can serve as a primer (if not as a technical basic textbook) for mathematicians from many different fields of interest.
Author : Ronald Brown
Publisher : Booksurge Llc
ISBN 13 : 9781419627224
Total Pages : 512 pages
Book Rating : 4.6/5 (272 download)
Download or read book Topology and Groupoids written by Ronald Brown and published by Booksurge Llc. This book was released on 2006 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation. The book is intended as a text for a two-semester course in topology and algebraic topology at the advanced undergraduate orbeginning graduate level. There are over 500 exercises, 114 figures, numerous diagrams. The general direction of the book is towardhomotopy theory with a geometric point of view. This book would providea more than adequate background for a standard algebraic topology coursethat begins with homology theory. For more information seewww.bangor.ac.uk/r.brown/topgpds.htmlThis version dated April 19, 2006, has a number of corrections made.
