C algebras and Their Automorphism Groups

• Author : Gert Kjaergård Pedersen
• Publisher : Unknown
• Release Date : 1979
• ISBN : UCAL:B4406544

• Author : Søren Eilers,Dorte Olesen
• Publisher : Academic Press
• Release Date : 2018-08-08
• ISBN : 9780128141236

This elegantly edited landmark edition of Gert Kjærgård Pedersen’s C*-Algebras and their Automorphism Groups (1979) carefully and sensitively extends the classic work to reflect the wealth of relevant novel results revealed over the past forty years. Revered from publication for its writing clarity and extremely elegant presentation of a vast space within operator algebras, Pedersen’s monograph is notable for reviewing partially ordered vector spaces and group automorphisms in unusual detail, and by strict intention releasing the

• Author : Søren Eilers,Dorte Olesen
• Publisher : Academic Press
• Release Date : 2018-06
• ISBN : 0128141220

C*-Algebras and Their Automorphism Groups, Second Edition, is an updated edition of Gert Kjærgård Pedersen's 1979 classic. This edition reflects the wealth of novel results revealed over the past forty years. Revered for its writing clarity and elegant presentation of operator algebras, Pedersen's monograph is notable for reviewing partially ordered vector spaces and group automorphisms in unusual detail, diminishing von Neumann algebras as an ancillary to C*-algebrae. Edited by Søren Eilers, this edition modernizes Pedersen's work

• Author : Matatyahu Rubin
• Publisher : American Mathematical Soc.
• Release Date : 1993
• ISBN : 9780821851876

Trees, sometimes called semilinear orders, are partially ordered sets in which every initial segment determined by an element is linearly ordered. This book focuses on automorphism groups of trees, providing a nearly complete analysis of when two trees have isomorphic automorphism groups. Special attention is paid to the class of $\aleph _0$-categorical trees, and for this class the analysis is complete. Various open problems, mostly in permutation group theory and in model theory, are discussed, and a number of research

• Author : Masamichi Takesaki
• Publisher : American Mathematical Soc.
• Release Date : 1983-12-31
• ISBN : 9780821807019

This book describes the recent development in the structure theory of von Neumann algebras and their automorphism groups. It can be viewed as a guided tour to the state of the art.

• Author : Martin W. Liebeck,Cheryl E. Praeger,Jan Saxl
• Publisher : American Mathematical Soc.
• Release Date : 1990
• ISBN : 9780821824948

Factorizations of finite groups as a product of two proper subgroups arise naturally in several areas of group theory, geometry, and applications. In this book, the authors determine all factorizations of the finite simple groups and their automorphism groups as a product of two maximal subgroups. The proof involved detailed study of the geometry of simple groups, and there is a substantial introductory section presenting this material.

• Author : W.C. Holland
• Publisher : Springer Science & Business Media
• Release Date : 2013-12-01
• ISBN : 9781461334439

The subjects of ordered groups and of infinite permutation groups have long en joyed a symbiotic relationship. Although the two subjects come from very different sources, they have in certain ways come together, and each has derived considerable benefit from the other. My own personal contact with this interaction began in 1961. I had done Ph. D. work on sequence convergence in totally ordered groups under the direction of Paul Conrad. In the process, I had encountered "pseudo-convergent" sequences in an

• Author : Paolo Aluffi,David Anderson,Milena Hering,Mircea Mustaţă,Sam Payne
• Publisher : Cambridge University Press
• Release Date : 2022-04-07
• ISBN : 9781108792509

Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.

• Author : Naihuan Jing,Kailash C. Misra
• Publisher : American Mathematical Soc.
• Release Date : 1999
• ISBN : 9780821811993

This volume reflects the proceedings of the International Conference on Representations of Affine and Quantum Affine Algebras and Their Applications held at North Carolina State University (Raleigh). In recent years, the theory of affine and quantum affine Lie algebras has become an important area of mathematical research with numerous applications in other areas of mathematics and physics. Three areas of recent progress are the focus of this volume: affine and quantum affine algebras and their generalizations, vertex operator algebras and

• Author : K. T. Arasu,J. F. Dillon,K. Harada,S. Sehgal,R. Solomon
• Publisher : Walter de Gruyter
• Release Date : 1996
• ISBN : 3110147912

Thisseries is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.

• Author : Stefaan Caenepeel,Freddy Van Oystaeyen
• Publisher : CRC Press
• Release Date : 2019-05-07
• ISBN : 9781482270396

This volume is based on the proceedings of the Hopf-Algebras and Quantum Groups conference at the Free University of Brussels, Belgium. It presents state-of-the-art papers - selected from over 65 participants representing nearly 20 countries and more than 45 lectures - on the theory of Hopf algebras, including multiplier Hopf algebras and quantum g

• Author : H. Araki,R.V. Kadison
• Publisher : Springer Science & Business Media
• Release Date : 2012-12-06
• ISBN : 9781461204534

This volume consists of articles contributed by participants at the fourth Ja pan-U.S. Joint Seminar on Operator Algebras. The seminar took place at the University of Pennsylvania from May 23 through May 27, 1988 under the auspices of the Mathematics Department. It was sponsored and supported by the Japan Society for the Promotion of Science and the National Science Foundation (USA). This sponsorship and support is acknowledged with gratitude. The seminar was devoted to discussions and lectures on results and prob lems

• Author : Iain Raeburn,Dana P. Williams
• Publisher : American Mathematical Soc.
• Release Date : 1998
• ISBN : 9780821808603

In this text, the authors give a modern treatment of the classification of continuous-trace $C^*$-algebras up to Morita equivalence. This includes a detailed discussion of Morita equivalence of $C^*$-algebras, a review of the necessary sheaf cohomology, and an introduction to recent developments in the area. The book is accessible to students who are beginning research in operator algebras after a standard one-term course in $C^*$-algebras.The authors have included introductions to necessary but nonstandard background. Thus they

• Author : Ruy Exel
• Publisher : American Mathematical Soc.
• Release Date : 2017-09-20
• ISBN : 9781470437855

Partial dynamical systems, originally developed as a tool to study algebras of operators in Hilbert spaces, has recently become an important branch of algebra. Its most powerful results allow for understanding structural properties of algebras, both in the purely algebraic and in the C*-contexts, in terms of the dynamical properties of certain systems which are often hiding behind algebraic structures. The first indication that the study of an algebra using partial dynamical systems may be helpful is the presence

• Author : P. Blanchard,L. Streit
• Publisher : Springer
• Release Date : 2006-11-14
• ISBN : 9783540386919