C Algebra Extensions Of Cx
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Author |
: Ronald G. Douglas |
Publisher |
: Princeton University Press |
Total Pages |
: 112 |
Release |
: 1980-07-21 |
ISBN-10 |
: 0691082669 |
ISBN-13 |
: 9780691082660 |
Rating |
: 4/5 (69 Downloads) |
Synopsis C*-algebra Extensions and K-homology by : Ronald G. Douglas
Recent developments in diverse areas of mathematics suggest the study of a certain class of extensions of C*-algebras. Here, Ronald Douglas uses methods from homological algebra to study this collection of extensions. He first shows that equivalence classes of the extensions of the compact metrizable space X form an abelian group Ext (X). Second, he shows that the correspondence X ⃗ Ext (X) defines a homotopy invariant covariant functor which can then be used to define a generalized homology theory. Establishing the periodicity of order two, the author shows, following Atiyah, that a concrete realization of K-homology is obtained.
Author |
: Huaxin Lin |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 102 |
Release |
: 1995 |
ISBN-10 |
: 9780821826119 |
ISBN-13 |
: 0821826115 |
Rating |
: 4/5 (19 Downloads) |
Synopsis $C^*$-Algebra Extensions of $C(X)$ by : Huaxin Lin
We show that the Weyl-von Neumann theorem for unitaries holds for [lowercase Greek]Sigma-unital [italic capital]A[italic capital]F-algebras and their multiplier algebras.
Author |
: Ronald G. Douglas |
Publisher |
: Princeton University Press |
Total Pages |
: 96 |
Release |
: 2016-03-02 |
ISBN-10 |
: 9781400881468 |
ISBN-13 |
: 1400881463 |
Rating |
: 4/5 (68 Downloads) |
Synopsis C*-Algebra Extensions and K-Homology. (AM-95), Volume 95 by : Ronald G. Douglas
Recent developments in diverse areas of mathematics suggest the study of a certain class of extensions of C*-algebras. Here, Ronald Douglas uses methods from homological algebra to study this collection of extensions. He first shows that equivalence classes of the extensions of the compact metrizable space X form an abelian group Ext (X). Second, he shows that the correspondence X ⃗ Ext (X) defines a homotopy invariant covariant functor which can then be used to define a generalized homology theory. Establishing the periodicity of order two, the author shows, following Atiyah, that a concrete realization of K-homology is obtained.
Author |
: James Michael Gardner Fell |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 172 |
Release |
: 1969 |
ISBN-10 |
: 9780821812907 |
ISBN-13 |
: 0821812904 |
Rating |
: 4/5 (07 Downloads) |
Synopsis An Extension of Mackey's Method to Banach *-Algebraic Bundles by : James Michael Gardner Fell
The main object of the present memoir is to show that the methods and results of Mackey (1958) and Blattner (1963) on the group extension representation problem go through without any essential change in the larger context of homogeneous Banach *-algebraic bundles (with enough cross sections). In order to dispense with separability we shall follow the topological methods of Blattner rather than Mackey's more detailed measure-theoretic analysis. Except for the last section, Part II of this memoir is in fact a rewriting of much of Blattner's papers (1963), making the modifications necessary in the larger context of bundles. The last Section 17 gives an account of the 'Mackey obstruction' in the nonseparable case, leading to an analogue (Theorem 17.2) of Theorem 8.2 of Mackey's paper for homogeneous Banach *-algebraic bundles, without separability restrictions. This is the culminating point of the present memoir.
Author |
: Idun Reiten |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 596 |
Release |
: 1998 |
ISBN-10 |
: 0821810766 |
ISBN-13 |
: 9780821810767 |
Rating |
: 4/5 (66 Downloads) |
Synopsis Algebras and Modules II by : Idun Reiten
The 43 research papers demonstrate the application of recent developments in the representation theory of artin algebras and related topics. Among the algebras considered are tame, bi- serial, cellular, factorial hereditary, Hopf, Koszul, non- polynomial growth, pre-projective, Termperley-Lieb, tilted, and quasi-tilted. Other topics include tilting and co-tilting modules and generalizations as *-modules, exceptional sequences of modules and vector bundles, homological conjectives, and vector space categories. The treatment assumes knowledge of non- commutative algebra, including rings, modules, and homological algebra at a graduate or professional level. No index. Member prices are $79 for institutions and $59 for individuals, which also apply to members of the Canadian Mathematical Society. Annotation copyrighted by Book News, Inc., Portland, OR
Author |
: M. Rørdam |
Publisher |
: Cambridge University Press |
Total Pages |
: 260 |
Release |
: 2000-07-20 |
ISBN-10 |
: 0521789443 |
ISBN-13 |
: 9780521789448 |
Rating |
: 4/5 (43 Downloads) |
Synopsis An Introduction to K-Theory for C*-Algebras by : M. Rørdam
This book provides a very elementary introduction to K-theory for C*-algebras, and is ideal for beginning graduate students.
Author |
: Jean-Claude Raoult |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 376 |
Release |
: 1992-02-19 |
ISBN-10 |
: 3540552510 |
ISBN-13 |
: 9783540552512 |
Rating |
: 4/5 (10 Downloads) |
Synopsis CAAP '92 by : Jean-Claude Raoult
This volume contains selected papers presented at the seventeenth Colloquiumon Trees in Algebra and Programming (CAAP) held jointly with the European Symposium on Programming (ESOP) in Rennes, France, February 26-28, 1992 (the proceedings of ESOP appear in LNCS 582). The previous colloquia were held in France, Italy, Germany, Spain, Denmark and England. Every even year, as in 1992, CAAP is held jointly with ESOP; every other year, it is part of TAPSOFT (Theory And Practice of SOFTware development). In the beginning, CAAP was devoted to algebraic and combinatorial properties of trees and their role in various fields of computer science. The scope of CAAP has now been extended to other discrete structures, like graphs, equations and transformations of graphs, and their links with logical theories. The programme committee received 40 submissions, from which 19 papers have been selected for inclusion inthis volume.
Author |
: Raymond Mortini |
Publisher |
: Springer Nature |
Total Pages |
: 2197 |
Release |
: 2021-08-02 |
ISBN-10 |
: 9783030738723 |
ISBN-13 |
: 3030738728 |
Rating |
: 4/5 (23 Downloads) |
Synopsis Extension Problems and Stable Ranks by : Raymond Mortini
This self-contained encyclopedic monograph gives a detailed introduction to Bézout equations and stable ranks, encompassing and explaining needed topological, analytical, and algebraic tools and methods. Some of the highlights included are Carleson's corona theorem and the Bass, topological, and matricial stable ranks. The first volume focusses on topological structures, Banach algebras, and advanced function theory, thus preparing the stage for the algebraic structures in the second volume towards examining stable ranks with analytic methods. The main emphasis is laid on algebras of holomorphic functions. Often a new approach is presented or at least a different angle of sight, which makes the book attractive both for researchers and students interested in these active fields of research.
Author |
: Andy R. Magid |
Publisher |
: CRC Press |
Total Pages |
: 262 |
Release |
: 2020-09-10 |
ISBN-10 |
: 9781000116816 |
ISBN-13 |
: 1000116816 |
Rating |
: 4/5 (16 Downloads) |
Synopsis Rings, Extensions, and Cohomology by : Andy R. Magid
"Presenting the proceedings of a conference held recently at Northwestern University, Evanston, Illinois, on the occasion of the retirement of noted mathematician Daniel Zelinsky, this novel reference provides up-to-date coverage of topics in commutative and noncommutative ring extensions, especially those involving issues of separability, Galois theory, and cohomology."
Author |
: M. Hazewinkel |
Publisher |
: Elsevier |
Total Pages |
: 637 |
Release |
: 2009-07-08 |
ISBN-10 |
: 9780080932811 |
ISBN-13 |
: 0080932819 |
Rating |
: 4/5 (11 Downloads) |
Synopsis Handbook of Algebra by : M. Hazewinkel
Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest. In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An excellent index has been included which is extensive and not limited to definitions, theorems etc. The Handbook of Algebra will publish articles as they are received and thus the reader will find in this third volume articles from twelve different sections. The advantages of this scheme are two-fold: accepted articles will be published quickly and the outline of the Handbook can be allowed to evolve as the various volumes are published. A particularly important function of the Handbook is to provide professional mathematicians working in an area other than their own with sufficient information on the topic in question if and when it is needed.- Thorough and practical source of information - Provides in-depth coverage of new topics in algebra - Includes references to relevant articles, books and lecture notes