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Author : Bruce D. Evans
Publisher : American Mathematical Soc.
Page : 63 pages
File Size : 48,9 Mb
Release : 1982
Category : Mathematics
ISBN : 9780821822692
Author : Anonim
Publisher : Academic Press
Page : 458 pages
File Size : 44,7 Mb
Release : 1972-09-29
Category : Mathematics
ISBN : 0080873596
Introduction to Compact Transformation Groups
Author : Edward G. Effros,Frank Hahn,Frank John Hahn
Publisher : American Mathematical Soc.
Page : 92 pages
File Size : 48,5 Mb
Release : 1967
Category : Algebras, Linear
ISBN : 9780821812754
Author : H. T Ku,L. N Mann,J. L Sicks,J. C Su
Publisher : Springer
Page : 465 pages
File Size : 51,9 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540380634
Author : J. M.G. Fell,R. S. Doran
Publisher : Academic Press
Page : 752 pages
File Size : 50,9 Mb
Release : 1988-05-01
Category : Mathematics
ISBN : 0080874452
This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras. The presentation is detailed, accessible, and self-contained (except for some elementary knowledge in algebra, topology, and abstract measure theory). In the later chapters the reader is brought to the frontiers of present-day knowledge in the area of Mackey normal subgroup analysisand its generalization to the context of Banach *-Algebraic Bundles.
Author : Anthony Bak,Masaharu Morimoto,Fumihiro Ushitaki
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 55,6 Mb
Release : 2002-07-31
Category : Mathematics
ISBN : 1402007833
This book provides an overview of some of the most active topics in the theory of transformation groups over the past decades and stresses advances obtained in the last dozen years. The emphasis is on actions of Lie groups on manifolds and CW complexes. Manifolds and actions of Lie groups on them are studied in the linear, semialgebraic, definable, analytic, smooth, and topological categories. Equivalent vector bundles play an important role. The work is divided into fifteen articles and will be of interest to anyone researching or studying transformations groups. The references make it easy to find details and original accounts of the topics surveyed, including tools and theories used in these accounts.
Author : T. Tom Dieck
Publisher : Springer
Page : 317 pages
File Size : 43,8 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540385172
Author : Dana P. Williams
Publisher : American Mathematical Soc.
Page : 546 pages
File Size : 42,8 Mb
Release : 2007
Category : Mathematics
ISBN : 9780821842423
The theory of crossed products is extremely rich and intriguing. There are applications not only to operator algebras, but to subjects as varied as noncommutative geometry and mathematical physics. This book provides a detailed introduction to this vast subject suitable for graduate students and others whose research has contact with crossed product $C*$-algebras. in addition to providing the basic definitions and results, the main focus of this book is the fine ideal structure of crossed products as revealed by the study of induced representations via the Green-Mackey-Rieffel machine. in particular, there is an in-depth analysis of the imprimitivity theorems on which Rieffel's theory of induced representations and Morita equivalence of $C*$-algebras are based. There is also a detailed treatment of the generalized Effros-Hahn conjecture and its proof due to Gootman, Rosenberg, and Sauvageot. This book is meant to be self-contained and accessible to any graduate student coming out of a first course on operator algebras. There are appendices that deal with ancillary subjects, which while not central to the subject, are nevertheless crucial for a complete understanding of the material. Some of the appendices will be of independent interest. to view another book by this author, please visit Morita Equivalence and Continuous-Trace $C*$-Algebras.
Author : W.Y. Hsiang
Publisher : Springer Science & Business Media
Page : 175 pages
File Size : 47,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642660528
Historically, applications of algebraic topology to the study of topological transformation groups were originated in the work of L. E. 1. Brouwer on periodic transformations and, a little later, in the beautiful fixed point theorem ofP. A. Smith for prime periodic maps on homology spheres. Upon comparing the fixed point theorem of Smith with its predecessors, the fixed point theorems of Brouwer and Lefschetz, one finds that it is possible, at least for the case of homology spheres, to upgrade the conclusion of mere existence (or non-existence) to the actual determination of the homology type of the fixed point set, if the map is assumed to be prime periodic. The pioneer result of P. A. Smith clearly suggests a fruitful general direction of studying topological transformation groups in the framework of algebraic topology. Naturally, the immediate problems following the Smith fixed point theorem are to generalize it both in the direction of replacing the homology spheres by spaces of more general topological types and in the direction of replacing the group tl by more general compact groups.
Author : Eldar Straume
Publisher : American Mathematical Soc.
Page : 76 pages
File Size : 47,6 Mb
Release : 1997
Category : Homology theory
ISBN : 9780821804834
In this book, the author carries out a systematic investigation and construction of all possible differentiable (homotopy) G-spheres with 2-dimensional orbit space, where G is any compact connected Lie group. Based on the geometric weight system classification of Part I, the possible orbit structures are determined, and the exotic G-spheres are constructed by equivariant twisting of the orthogonal models.
Author : Deane Montgomery,Leo Zippin
Publisher : Courier Dover Publications
Page : 304 pages
File Size : 48,8 Mb
Release : 2018-06-13
Category : Mathematics
ISBN : 9780486831589
An advanced monograph on the subject of topological transformation groups, this volume summarizes important research conducted during a period of lively activity in this area of mathematics. The book is of particular note because it represents the culmination of research by authors Deane Montgomery and Leo Zippin, undertaken in collaboration with Andrew Gleason of Harvard University, that led to their solution of a well-known mathematical conjecture, Hilbert's Fifth Problem. The treatment begins with an examination of topological spaces and groups and proceeds to locally compact groups and groups with no small subgroups. Subsequent chapters address approximation by Lie groups and transformation groups, concluding with an exploration of compact transformation groups.
Author : Armand Borel
Publisher : Princeton University Press
Page : 262 pages
File Size : 43,9 Mb
Release : 1960
Category : Mathematics
ISBN : 0691090947
The description for this book, Seminar on Transformation Groups. (AM-46), Volume 46, will be forthcoming.
Author : Kraft
Publisher : Springer Science & Business Media
Page : 216 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461237020
In recent years, there has been increasing interest and activity in the area of group actions on affine and projective algebraic varieties. Tech niques from various branches of mathematics have been important for this study, especially those coming from the well-developed theory of smooth compact transformation groups. It was timely to have an interdisciplinary meeting on these topics. We organized the conference "Topological Methods in Alg~braic Transformation Groups," which was held at Rutgers University, 4-8 April, 1988. Our aim was to facilitate an exchange of ideas and techniques among mathematicians studying compact smooth transformation groups, alge braic transformation groups and related issues in algebraic and analytic geometry. The meeting was well attended, and these Proceedings offer a larger audience the opportunity to benefit from the excellent survey and specialized talks presented. The main topics concerned various as pects of group actions, algebraic quotients, homogeneous spaces and their compactifications. The meeting was made possible by support from Rutgers University and the National Science Foundation. We express our deep appreciation for this support. We also thank Annette Neuen for her assistance with the technical preparation of these Proceedings.
Author : Thomas Karl Müller
Publisher : Unknown
Page : 100 pages
File Size : 48,5 Mb
Release : 1990
Category : C*-algebras
ISBN : UCR:31210012616494
Author : Conference on Compact Transformation Groups
Publisher : Unknown
Page : 826 pages
File Size : 55,6 Mb
Release : 1972
Category : Cobordism theory
ISBN : UCSD:31822026278564