Affine Representations of Grothendieck Groups and Applications to Rickart $C^\ast $-Algebras and $\aleph _0$-Continuous Regular Rings

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Publisher : American Mathematical Soc.
ISBN 13 : 0821822349
Total Pages : 175 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Affine Representations of Grothendieck Groups and Applications to Rickart $C^\ast $-Algebras and $\aleph _0$-Continuous Regular Rings by : K. R. Goodearl

Download or read book Affine Representations of Grothendieck Groups and Applications to Rickart $C^\ast $-Algebras and $\aleph _0$-Continuous Regular Rings written by K. R. Goodearl and published by American Mathematical Soc.. This book was released on 1980 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper is concerned with the structure of three interrelated classes of objects: partially ordered abelian groups with countable interpolation, [Hebrew]Aleph0-continuous regular rings, and finite Rickart C*-algebras. The connection from these rings and algebras to these groups is the Grothendieck group K0, which, for all [Hebrew]Aleph0-continuous regular rings and most finite Rickart C*-algebras, is a partially ordered abelian group with countable interpolation. Such partially ordered groups are shown to possess quite specific representations in spaces of affine continuous functions on Choquet simplices. The theme of this paper is to develop the structure theory of these groups and these representations, and to translate the results, via K0, into properties of [Hebrew]Aleph0-continuous regular rings and finite Rickart C*-algebras.

Affine Representations of Grothendieck Groups and Applications to Rickart C*-algebras and [Hebrew Aleph]-continuous Regular Rings

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Publisher :
ISBN 13 : 9780821822333
Total Pages : 74 pages
Book Rating : 4.8/5 (223 download)

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Book Synopsis Affine Representations of Grothendieck Groups and Applications to Rickart C*-algebras and [Hebrew Aleph]-continuous Regular Rings by : American Mathematical Society

Download or read book Affine Representations of Grothendieck Groups and Applications to Rickart C*-algebras and [Hebrew Aleph]-continuous Regular Rings written by American Mathematical Society and published by . This book was released on 1980 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Affine Representations of Grothendieck Groups and Applications to Rickart C*-algebras and [kappa]0-continuous Regular Rings

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Publisher :
ISBN 13 :
Total Pages : 163 pages
Book Rating : 4.:/5 (988 download)

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Book Synopsis Affine Representations of Grothendieck Groups and Applications to Rickart C*-algebras and [kappa]0-continuous Regular Rings by : K. R. Goodearl

Download or read book Affine Representations of Grothendieck Groups and Applications to Rickart C*-algebras and [kappa]0-continuous Regular Rings written by K. R. Goodearl and published by . This book was released on 1980 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Affine Representations of Grothendieck Groups and Applications to Rickart C*-algebras and 0-continous Regular Rings

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Publisher :
ISBN 13 :
Total Pages : 161 pages
Book Rating : 4.:/5 (174 download)

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Book Synopsis Affine Representations of Grothendieck Groups and Applications to Rickart C*-algebras and 0-continous Regular Rings by : Kenneth R. Goodearl

Download or read book Affine Representations of Grothendieck Groups and Applications to Rickart C*-algebras and 0-continous Regular Rings written by Kenneth R. Goodearl and published by . This book was released on 1980 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Affine Representations of Grothendieck Groups and Applications to Rechart C-algebras and X0-continuous Regular Rings

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (477 download)

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Book Synopsis Affine Representations of Grothendieck Groups and Applications to Rechart C-algebras and X0-continuous Regular Rings by : K. R. Goodearl

Download or read book Affine Representations of Grothendieck Groups and Applications to Rechart C-algebras and X0-continuous Regular Rings written by K. R. Goodearl and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Representations of Affine Hecke Algebras

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Publisher : Springer
ISBN 13 : 3540486828
Total Pages : 147 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Representations of Affine Hecke Algebras by : Nanhua Xi

Download or read book Representations of Affine Hecke Algebras written by Nanhua Xi and published by Springer. This book was released on 2006-11-15 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kazhdan and Lusztig classified the simple modules of an affine Hecke algebra Hq (q E C*) provided that q is not a root of 1 (Invent. Math. 1987). Ginzburg had some very interesting work on affine Hecke algebras. Combining these results simple Hq-modules can be classified provided that the order of q is not too small. These Lecture Notes of N. Xi show that the classification of simple Hq-modules is essentially different from general cases when q is a root of 1 of certain orders. In addition the based rings of affine Weyl groups are shown to be of interest in understanding irreducible representations of affine Hecke algebras. Basic knowledge of abstract algebra is enough to read one third of the book. Some knowledge of K-theory, algebraic group, and Kazhdan-Lusztig cell of Cexeter group is useful for the rest

American Book Publishing Record

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Publisher : R. R. Bowker
ISBN 13 :
Total Pages : 1360 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis American Book Publishing Record by :

Download or read book American Book Publishing Record written by and published by R. R. Bowker. This book was released on 1982-04 with total page 1360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Books in Series

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ISBN 13 :
Total Pages : 1858 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Books in Series by :

Download or read book Books in Series written by and published by . This book was released on 1985 with total page 1858 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. for 1980- issued in three parts: Series, Authors, and Titles.

International Symposium on Ring Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1461201810
Total Pages : 449 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis International Symposium on Ring Theory by : Gary F. Birkenmeier

Download or read book International Symposium on Ring Theory written by Gary F. Birkenmeier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the Proceedings of the Third Korea-China-Japan Inter national Symposium on Ring Theory held jointly with the Second Korea Japan Joint Ring Theory Seminar which took place at the historical resort area of Korea, Kyongju, June 28-July 3, 1999. It also includes articles by some invited mathematicians who were unable to attend the conference. Over 90 mathematicians from 12 countries attended this conference. The conference is held every 4 years on a rotating basis. The first con ference was held in 1991 at Guilin, China. In 1995 the second conference took place in Okayama, Japan. At the second conference it was decided to include Korea, who hosted this conference of 1999. During the past century Ring Theory has diversified into many subar eas. This is reflected in these articles from over 25 well-known mathemati cians covering a broad range of topics, including: Classical Ring Theory, Module Theory, Representation Theory, and the theory of Hopf Algebras. Among these peer reviewed papers are invited survey articles as well as research articles. The survey articles provide an overview of various areas for researchers looking for a new or related field to investigate, while the research articles give the flavor of current research. We feel that the variety of related topics will stimulate interaction between researchers. Moreover the Open Problems section provides guidance for future research. This book should prove attractive to a wide audience of algebraists. Gary F. Birkenmeier, Lafayette, U. S. A.

Books in Print

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ISBN 13 :
Total Pages : 2204 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Books in Print by :

Download or read book Books in Print written by and published by . This book was released on 1987 with total page 2204 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Books in Print Supplement

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ISBN 13 :
Total Pages : 2056 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Books in Print Supplement by :

Download or read book Books in Print Supplement written by and published by . This book was released on 1984 with total page 2056 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Forthcoming Books

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ISBN 13 :
Total Pages : 614 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Forthcoming Books by : Rose Arny

Download or read book Forthcoming Books written by Rose Arny and published by . This book was released on 1981 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Godel

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Publisher :
ISBN 13 : 0786747609
Total Pages : 222 pages
Book Rating : 4.7/5 (867 download)

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Book Synopsis Godel by : John L. Casti

Download or read book Godel written by John L. Casti and published by . This book was released on 2009-04-21 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kurt Gödel was an intellectual giant. His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Shattering hopes that logic would, in the end, allow us a complete understanding of the universe, Gödel's theorem also raised many provocative questions: What are the limits of rational thought? Can we ever fully understand the machines we build? Or the inner workings of our own minds? How should mathematicians proceed in the absence of complete certainty about their results? Equally legendary were Gödel's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first book for a general audience on this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life.

Linear Algebra and Differential Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821828502
Total Pages : 150 pages
Book Rating : 4.8/5 (285 download)

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Book Synopsis Linear Algebra and Differential Equations by : Alexander Givental

Download or read book Linear Algebra and Differential Equations written by Alexander Givental and published by American Mathematical Soc.. This book was released on 2001 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material presented in this book corresponds to a semester-long course, ``Linear Algebra and Differential Equations'', taught to sophomore students at UC Berkeley. In contrast with typical undergraduate texts, the book offers a unifying point of view on the subject, namely that linear algebra solves several clearly-posed classification problems about such geometric objects as quadratic forms and linear transformations. This attractive viewpoint on the classical theory agrees well with modern tendencies in advanced mathematics and is shared by many research mathematicians. However, the idea of classification seldom finds its way to basic programs in mathematics, and is usually unfamiliar to undergraduates. To meet the challenge, the book first guides the reader through the entire agenda of linear algebra in the elementary environment of two-dimensional geometry, and prior to spelling out the general idea and employing it in higher dimensions, shows how it works in applications such as linear ODE systems or stability of equilibria. Appropriate as a text for regular junior and honors sophomore level college classes, the book is accessible to high school students familiar with basic calculus, and can also be useful to engineering graduate students.

Convolution Transform

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Publisher : Princeton University Press
ISBN 13 : 1400877075
Total Pages : 279 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Convolution Transform by : David Vernon Widder

Download or read book Convolution Transform written by David Vernon Widder and published by Princeton University Press. This book was released on 2015-12-08 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: The convolution transform includes as special cases such familiar transforms as the Laplace, Fourier-sine, Fourier-cosine, Hankel, Meier, and Weierstrass (or Gauss). As a consequence any general theory about it may serve as a unifying influence for the evergrowing literature concerning integral transforms. Originally published in 1955. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Functional Analysis and Numerical Mathematics

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Publisher : Academic Press
ISBN 13 : 1483264009
Total Pages : 494 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Functional Analysis and Numerical Mathematics by : Lothar Collatz

Download or read book Functional Analysis and Numerical Mathematics written by Lothar Collatz and published by Academic Press. This book was released on 2014-05-12 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional Analysis and Numerical Mathematics focuses on the structural changes which numerical analysis has undergone, including iterative methods, vectors, integral equations, matrices, and boundary value problems. The publication first examines the foundations of functional analysis and applications, including various types of spaces, convergence and completeness, operators in Hilbert spaces, vector and matrix norms, eigenvalue problems, and operators in pseudometric and other special spaces. The text then elaborates on iterative methods. Topics include the fixed-point theorem for a general iterative method in pseudometric spaces; special cases of the fixed-point theorem and change of operator; iterative methods for differential and integral equations; and systems of equations and difference methods. The manuscript takes a look at monotonicity, inequalities, and other topics, including monotone operators, applications of Schauder's theorem, matrices and boundary value problems of monotone kind, discrete Chebyshev approximation and exchange methods, and approximation of functions. The publication is a valuable source of data for mathematicians and researchers interested in functional analysis and numerical mathematics.

D-Modules, Perverse Sheaves, and Representation Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 081764363X
Total Pages : 408 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis D-Modules, Perverse Sheaves, and Representation Theory by : Ryoshi Hotta

Download or read book D-Modules, Perverse Sheaves, and Representation Theory written by Ryoshi Hotta and published by Springer Science & Business Media. This book was released on 2007-11-07 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: D-modules continues to be an active area of stimulating research in such mathematical areas as algebraic, analysis, differential equations, and representation theory. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory, which connects D-modules to representation theory and other areas of mathematics. To further aid the reader, and to make the work as self-contained as possible, appendices are provided as background for the theory of derived categories and algebraic varieties. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, representation theory.