Locally Compact Transformation Groups And C Algebras
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Locally Compact Transformation Groups and C Algebras
Author | : Edward G. Effros,Frank Hahn,Frank John Hahn |
Publsiher | : American Mathematical Soc. |
Total Pages | : 92 |
Release | : 1967 |
Genre | : Algebras, Linear |
ISBN | : 9780821812754 |
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C Bundles and Compact Transformation Groups
Author | : Bruce D. Evans |
Publsiher | : American Mathematical Soc. |
Total Pages | : 63 |
Release | : 1982 |
Genre | : Mathematics |
ISBN | : 9780821822692 |
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Locally Compact Groups
Author | : Markus Stroppel |
Publsiher | : European Mathematical Society |
Total Pages | : 320 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 3037190167 |
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Locally compact groups play an important role in many areas of mathematics as well as in physics. The class of locally compact groups admits a strong structure theory, which allows to reduce many problems to groups constructed in various ways from the additive group of real numbers, the classical linear groups and from finite groups. The book gives a systematic and detailed introduction to the highlights of that theory. In the beginning, a review of fundamental tools from topology and the elementary theory of topological groups and transformation groups is presented. Completions, Haar integral, applications to linear representations culminating in the Peter-Weyl Theorem are treated. Pontryagin duality for locally compact Abelian groups forms a central topic of the book. Applications are given, including results about the structure of locally compact Abelian groups, and a structure theory for locally compact rings leading to the classification of locally compact fields. Topological semigroups are discussed in a separate chapter, with special attention to their relations to groups. The last chapter reviews results related to Hilbert's Fifth Problem, with the focus on structural results for non-Abelian connected locally compact groups that can be derived using approximation by Lie groups. The book is self-contained and is addressed to advanced undergraduate or graduate students in mathematics or physics. It can be used for one-semester courses on topological groups, on locally compact Abelian groups, or on topological algebra. Suggestions on course design are given in the preface. Each chapter is accompanied by a set of exercises that have been tested in classes.
Topological Transformation Groups
Author | : Deane Montgomery,Leo Zippin |
Publsiher | : Courier Dover Publications |
Total Pages | : 304 |
Release | : 2018-06-13 |
Genre | : Mathematics |
ISBN | : 9780486831589 |
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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.
Introduction to Compact Transformation Groups
Author | : Anonim |
Publsiher | : Academic Press |
Total Pages | : 458 |
Release | : 1972-09-29 |
Genre | : Mathematics |
ISBN | : 0080873596 |
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Introduction to Compact Transformation Groups
Representations of Algebras Locally Compact Groups and Banach Algebraic Bundles
Author | : J. M.G. Fell,R. S. Doran |
Publsiher | : Academic Press |
Total Pages | : 771 |
Release | : 1988-04-15 |
Genre | : Mathematics |
ISBN | : 9780080874449 |
Download Representations of Algebras Locally Compact Groups and Banach Algebraic Bundles Book in PDF, Epub and Kindle
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.
Proceedings of the Second Conference on Compact Transformation Groups University of Massachusetts Amherst 1971
Author | : H. T Ku,L. N Mann,J. L Sicks,J. C Su |
Publsiher | : Springer |
Total Pages | : 465 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 9783540380634 |
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Seminar on Transformation Groups
Author | : Armand Borel |
Publsiher | : Princeton University Press |
Total Pages | : 260 |
Release | : 1960 |
Genre | : Mathematics |
ISBN | : 9780691090948 |
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Armond Borel’s influential seminar on transformation groups from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.