On The Classification Of Simple C Algebras Which Are Inductive Limits Of Continuous Trace C Algebras Whose Spectrum Is The Closed Interval 0 1 Microform

Author : Cristian Ivanescu
Publisher : Library and Archives Canada = Bibliothèque et Archives Canada
Page : 226 pages
File Size : 47,8 Mb
Release : 2004
Category : Electronic
ISBN : 0612944042

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On the Classification of Simple C*-algebras which are Inductive Limits of Continuous-trace C*-algebras Whose Spectrum is the Closed Interval [0,1] [microform] by Cristian Ivanescu Pdf

A classification is given of certain separable nuclear C*-algebras not necessarily of real rank zero, namely, the class of simple C*-algebras which are inductive limits of continuous-trace C*-algebras whose building blocks have spectrum homeomorphic to the closed interval [0, 1] or to a finite disjoint union of closed intervals. In particular, a classification of those stably AI algebras which are inductive limits of hereditary sub-C*-algebras of interval algebras is obtained. Also, the range of the invariant is calculated.

Author : Liangqing Li
Publisher : American Mathematical Soc.
Page : 138 pages
File Size : 47,8 Mb
Release : 1997
Category : C*-algebras
ISBN : 9780821805961

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Classification of Simple $C$*-algebras: Inductive Limits of Matrix Algebras over Trees by Liangqing Li Pdf

In this paper, it is shown that the simple unital C*-algebras arising as inductive limits of sequences of finite direct sums of matrix algebras over [italic capital]C([italic capital]X[subscript italic]i), where [italic capital]X[subscript italic]i are arbitrary variable trees, are classified by K-theoretical and tracial data. This result generalizes the result of George Elliott of the case of [italic capital]X[subscript italic]i = [0, 1]. The added generality is useful in the classification of more general inductive limit C*-algebras.

Author : K. R. Goodearl,David Handelman
Publisher : American Mathematical Soc.
Page : 147 pages
File Size : 45,8 Mb
Release : 1987
Category : Mathematics
ISBN : 9780821824351

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Classification of Ring and $C^\ast $-Algebra Direct Limits of Finite-Dimensional Semisimple Real Algebras by K. R. Goodearl,David Handelman Pdf

Motivated by (i) Elliott's classification of direct limits of countable sequences of finite-dimensional semisimple complex algebras and complex AF C*-algebras, (ii) classical results classifying involutions on finite-dimensional semisimple complex algebras, and (iii) the classification by Handelman and Rossmann of automorphisms of period two on the algebras appearing in (i) we study the real algebras described above and completely classify them, up to isomorphism, Morita equivalence, or stable isomorphism. We also show how our classification easily distinguishes various types of algebras within the given classes, and we partially solve the problem of determining exactly which values are attained by the invariants used in classifying these algebras.

Author : Hongbing Su
Publisher : American Mathematical Soc.
Page : 83 pages
File Size : 46,6 Mb
Release : 1995
Category : Mathematics
ISBN : 9780821826072

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On the Classification of $C^*$-algebras of Real Rank Zero: Inductive Limits of Matrix Algebras over Non-Hausdorff Graphs by Hongbing Su Pdf

This work shows that $K$-theoretic data is a complete invariant for certain inductive limit $C^*$-algebras. $C^*$-algebras of this kind are useful in studying group actions. Su gives a $K$-theoretic classification of the real rank zero $C^*$-algebras that can be expressed as inductive limits of finite direct sums of matrix algebras over finite (possibly non-Hausdorff) graphs or Hausdorff one-dimensional spaces defined as inverse limits of finite graphs. In addition, Su establishes a characterization for an inductive limit of finite direct sums of matrix algebras over finite (possibly non-Hausdorff) graphs to be real rank zero.

Author : Ronald Hagen,Steffen Roch,Bernd Silbermann
Publisher : CRC Press
Page : 388 pages
File Size : 51,7 Mb
Release : 2000-09-07
Category : Mathematics
ISBN : 0824704606

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C* - Algebras and Numerical Analysis by Ronald Hagen,Steffen Roch,Bernd Silbermann Pdf

"Analyzes algebras of concrete approximation methods detailing prerequisites, local principles, and lifting theorems. Covers fractality and Fredholmness. Explains the phenomena of the asymptotic splitting of the singular values, and more."

Author : Klaus Thomsen
Publisher : Unknown
Page : 144 pages
File Size : 51,7 Mb
Release : 1997
Category : C*-algebras
ISBN : UCR:31210012979496

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Limits of Certain Subhomogeneous C*-algebras by Klaus Thomsen Pdf

In this work, it is shown that the Elliott invariant is a complete invariant for the simple unital $C^*$-algebras which can be realized as an inductive limit of a sequence of finite direct sums of algebras of the form $\{f\in C(\mathbb T) \oplus M_n\: f(x_i)\in M_d, i= 1, 2,\dots, N\}$, where $x_1, x_2,\dots, x_N$ is an arbitrary (finite) set on the circle $\mathbb T$ and $d$ is a natural number dividing $n$. The corresponding range of invariants is identified and the classification result is extended to the non-unital case. A series of results about the structure of these $C^*$-algebras and the maps between them are also obtained.

Author : Hongbing Su
Publisher : National Library of Canada = Bibliothèque nationale du Canada
Page : 128 pages
File Size : 45,9 Mb
Release : 1992
Category : Electronic
ISBN : 0315787503

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On the Classification of C*-algebras of Real Rank Zero [microform] : Inductive Limits of Matrix Algebras Over Non-Hausdorff Graphs by Hongbing Su Pdf

Author : Huaxin Lin,Norman Christopher Phillips
Publisher : American Mathematical Soc.
Page : 132 pages
File Size : 47,7 Mb
Release : 1995
Category : Mathematics
ISBN : 082186288X

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Classification of Direct Limits of Even Cuntz-circle Algebras by Huaxin Lin,Norman Christopher Phillips Pdf

does not need NBB copy

Author : Tosio Kato
Publisher : Springer Science & Business Media
Page : 610 pages
File Size : 45,5 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662126783

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Perturbation theory for linear operators by Tosio Kato Pdf

Author : Joan Bosa
Publisher : Unknown
Page : 128 pages
File Size : 54,9 Mb
Release : 2019
Category : C*-algebras
ISBN : 1470449498

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Covering Dimension of C*-algebras and 2-coloured Classification by Joan Bosa Pdf

Author : Eric Friedlander,Daniel R. Grayson
Publisher : Springer Science & Business Media
Page : 1148 pages
File Size : 55,9 Mb
Release : 2005-07-18
Category : Mathematics
ISBN : 9783540230199

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Handbook of K-Theory by Eric Friedlander,Daniel R. Grayson Pdf

This handbook offers a compilation of techniques and results in K-theory. Each chapter is dedicated to a specific topic and is written by a leading expert. Many chapters present historical background; some present previously unpublished results, whereas some present the first expository account of a topic; many discuss future directions as well as open problems. It offers an exposition of our current state of knowledge as well as an implicit blueprint for future research.

Author : Andrew S. Glassner
Publisher : Elsevier
Page : 368 pages
File Size : 53,8 Mb
Release : 1989-06-01
Category : Computers
ISBN : 9780080499055

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An Introduction to Ray Tracing by Andrew S. Glassner Pdf

The creation of ever more realistic 3-D images is central to the development of computer graphics. The ray tracing technique has become one of the most popular and powerful means by which photo-realistic images can now be created. The simplicity, elegance and ease of implementation makes ray tracing an essential part of understanding and exploiting state-of-the-art computer graphics. An Introduction to Ray Tracing develops from fundamental principles to advanced applications, providing "how-to" procedures as well as a detailed understanding of the scientific foundations of ray tracing. It is also richly illustrated with four-color and black-and-white plates. This is a book which will be welcomed by all concerned with modern computer graphics, image processing, and computer-aided design. Provides practical "how-to" information Contains high quality color plates of images created using ray tracing techniques Progresses from a basic understanding to the advanced science and application of ray tracing

Author : Igor R. Shafarevich
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 46,8 Mb
Release : 2005-04-13
Category : Mathematics
ISBN : 3540251774

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Basic Notions of Algebra by Igor R. Shafarevich Pdf

Wholeheartedly recommended to every student and user of mathematics, this is an extremely original and highly informative essay on algebra and its place in modern mathematics and science. From the fields studied in every university maths course, through Lie groups to cohomology and category theory, the author shows how the origins of each concept can be related to attempts to model phenomena in physics or in other branches of mathematics. Required reading for mathematicians, from beginners to experts.

Author : Dale Husemöller,Michael Joachim,Branislav Jurco,Martin Schottenloher
Publisher : Springer
Page : 340 pages
File Size : 43,5 Mb
Release : 2007-12-10
Category : Mathematics
ISBN : 9783540749561

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Basic Bundle Theory and K-Cohomology Invariants by Dale Husemöller,Michael Joachim,Branislav Jurco,Martin Schottenloher Pdf

Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory. It aims to provide newcomers to the field with solid foundations in topological K-theory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object. One renewed motivation for studying this subject, comes from quantum field theory, where topological invariants play an important role.

Author : Alain Connes,K. Gawędzki,Jean Zinn-Justin
Publisher : North-Holland
Page : 1038 pages
File Size : 54,7 Mb
Release : 1998
Category : Foreign Language Study
ISBN : UCSC:32106013762197

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Quantum Symmetries by Alain Connes,K. Gawędzki,Jean Zinn-Justin Pdf

Hardbound. One of the greatest challenges that theoretical physics faces at the end of the century is to blend together the two revolutions of the beginning of the century, namely general relativity and quantum mechanics. One message that has become clear from the start and is common to both revolutions is that there is no limit to the level of sophistication of mathematics that will become essential to physics. This book comprises the lecture notes of the 1995 Les Houches Summer School. The aim of the school was to cover a wide range of areas, from theoretical physics to abstract mathematics, that are relevant in the search of a quantum theory of gravity. The lectures provide a systematic introduction to topological and conformal field theories, supersymmetry and super Yang-Mills theories, string theory and superstring dualities, integrable lattice models and quantum groups, non commutative geometry and the theory of diffeomorphism groups.It is di