中文参考译名:Banach代数和*-代数的一般理论：第1卷，代数和Banach代数（数学及其应用百科全书）
Author: Theodore W. Palmer
Publisher: Cambridge University Pre
Keywords: algebras, banach, mathematics, applications, encyclopedia, theory, general, volume
Number of Pages: 812
Published: 1994-03-25
List price: $220.00
ISBN-10: 0521366372
ISBN-13: 9780521366373

This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. This account emphasizes the role of *-algebraic structure and explores the algebraic results that underlie the theory of Banach algebras and *-algebras. The first volume, which contains previously unpublished results, is an independent, self-contained reference on Banach algebra theory. Each topic is treated in the maximum interesting generality within the framework of some class of complex algebras rather than topological algebras

Authors:M. Rordam, E. Stormer,
Publisher: Springer
Keywords: algebras, mathematical, sciences, encyclopaedia, entropy, nuclear, classification, operator
Number of Pages: 198
Published: 2001-12-06
List price: $149.00
ISBN-10: 3540423052
ISBN-13: 9783540423058

Written by leading scientists in the field of operator algebras and non-commutative geometry.

Author: Liangqing Li
Publisher: American Mathematical Society
Keywords: algebras, memoirs, american, mathematical, trees, society, matrix, simple, inductive, limits, classification, over
Number of Pages: 123
Published: 1997-06
List price: $43.00
ISBN-10: 0821805967
ISBN-13: 9780821805961

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

Author: INTERNATIONAL CONFERENCE ON BANACH ALGEBRAS 2003 U
Publisher: American Mathematical Society
Keywords: banach, algebras, august, july, contemporary, mathematics, edmonton, university, applications, international, conference, alberta
Number of Pages: 343
Published: 2004-12
List price: $93.00
ISBN-10: 0821834711
ISBN-13: 9780821834718

This proceedings volume is from the international conference on Banach Algebras and Their Applications held at the University of Alberta (Edmonton). It contains a collection of refereed research papers and high-level expository articles that offer a panorama of Banach algebra theory and its manifold applications. Topics in the book range from $K$-theory to abstract harmonic analysis to operator theory. It is suitable for graduate students and researchers interested in Banach algebras.

Author: Hongbing Su
Publisher: Amer Mathematical Society
Keywords: algebras, graphs, hausdorff, memoirs, mathematical, society, non, american, matrix, rank, real, zero, inductive, classification, limits, over
Number of Pages: 83
Published: 1995-03
List price: $37.00
ISBN-10: 0821826077
ISBN-13: 9780821826072

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 (

中文参考译名:玻色子的构建辛仿射Kac - Moody代数（回忆录的顶点算准代数美国数学协会）
Author: Michael David Weiner
Publisher: American Mathematical Society
Keywords: algebras, moody, memoirs, american, society, mathematical, kac, symplectic, vertex, construction, operator, para, bosonic, affine
Number of Pages: 106
Published: 1998-09-01
List price: unknow
ISBN-10: 0821808664
ISBN-13: 9780821808665

Inspired by mathematical structures found by theoretical physicists and by the desire to understand the "monstrous moonshine" of the Monster group, Borcherds, Frenkel, Lepowsky, and Meurman introduced the definition of vertex operator algebra (VOA). An important part of the theory of VOAs concerns their modules and intertwining operators between modules. Feingold, Frenkel, and Ries defined a structure, called a vertex operator para-algebra (VOPA), where a VOA, its modules and their intertwining operators are unified. In this work, for each $n geq 1$, the author uses the bosonic construction (f

Authors:Joachim Cuntz, Siegfried Echterhoff,
Publisher: Springer
Keywords: germany, algebras, march, english, german, m�nster, proceedings, sfb, workshop
Number of Pages: 272
Published: 2000-10-27
List price: $79.95
ISBN-10: 3540675620
ISBN-13: 9783540675624

This book represents the refereed proceedings of the SFB-Workshop on C*-Algebras which was held at Münster in March 1999. It contains articles by some of the best researchers on the subject of C*-algebras about recent developments in the field of C*-algebra theory and its connections to harmonic analysis and noncommutative geometry. Among the contributions there are several excellent surveys and overviews and some original articles covering areas like the classification of C*-algebras, K-theory, exact C*-algebras and exact groups, Cuntz-Krieger-Pimsner algebras, group C*-algebras, the Baum-Co