Induced Representations And Banach Algebraic Bundles

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Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles

J. M.G. Fell,R. S. Doran
Representations of Algebras Locally Compact Groups and Banach Algebraic Bundles Book PDF

Author : J. M.G. Fell,R. S. Doran
Publisher : Academic Press
Page : 752 pages
File Size : 51,8 Mb
Release : 1988-05-01
Category : Mathematics
ISBN : 0080874452

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Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles by J. M.G. Fell,R. S. Doran Pdf

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.

Induced Representations and Banach *-algebraic Bundles

James Michael Gardner Fell,Morris W. Hirsch,Tonny Albert Springer
Induced Representations and Banach algebraic Bundles Book PDF

Author : James Michael Gardner Fell,Morris W. Hirsch,Tonny Albert Springer
Publisher : Unknown
Page : 349 pages
File Size : 40,5 Mb
Release : 1977
Category : Banach algebras
ISBN : 038708147X

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Induced Representations and Banach *-algebraic Bundles by James Michael Gardner Fell,Morris W. Hirsch,Tonny Albert Springer Pdf

Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles

J. M.G. Fell,R. S. Doran
Representations of Algebras Locally Compact Groups and Banach Algebraic Bundles Book PDF

Author : J. M.G. Fell,R. S. Doran
Publisher : Academic Press
Page : 771 pages
File Size : 54,6 Mb
Release : 1988-04-15
Category : Mathematics
ISBN : 9780080874449

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Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles by J. M.G. Fell,R. S. Doran Pdf

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.

Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles

J. M.G. Fell,R. S. Doran
Representations of Algebras Locally Compact Groups and Banach Algebraic Bundles Book PDF

Author : J. M.G. Fell,R. S. Doran
Publisher : Academic Press
Page : 746 pages
File Size : 49,7 Mb
Release : 1988-04-11
Category : Mathematics
ISBN : 0122527216

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Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles by J. M.G. Fell,R. S. Doran Pdf

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.

Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles

J. M.G. Fell,R. S. Doran
Representations of Algebras Locally Compact Groups and Banach Algebraic Bundles Book PDF

Author : J. M.G. Fell,R. S. Doran
Publisher : Academic Press
Page : 752 pages
File Size : 55,8 Mb
Release : 1988-05-12
Category : Mathematics
ISBN : 0122527224

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Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles by J. M.G. Fell,R. S. Doran Pdf

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.

An Extension of Mackey's Method to Banach *-algebraic Bundles

James Michael Gardner Fell
An Extension of Mackey s Method to Banach algebraic Bundles Book PDF

Author : James Michael Gardner Fell
Publisher : American Mathematical Soc.
Page : 176 pages
File Size : 52,5 Mb
Release : 1969
Category : Banach algebras
ISBN : PSU:000004370093

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An Extension of Mackey's Method to Banach *-algebraic Bundles by James Michael Gardner Fell Pdf

The main object of the present memoir is to show that the methods and results of Mackey (1958) and Blattner (1963) on the group extension representation problem go through without any essential change in the larger context of homogeneous Banach *-algebraic bundles (with enough cross sections). In order to dispense with separability we shall follow the topological methods of Blattner rather than Mackey's more detailed measure-theoretic analysis. Except for the last section, Part II of this memoir is in fact a rewriting of much of Blattner's papers (1963), making the modifications necessary in the larger context of bundles. The last Section 17 gives an account of the 'Mackey obstruction' in the nonseparable case, leading to an analogue (Theorem 17.2) of Theorem 8.2 of Mackey's paper for homogeneous Banach *-algebraic bundles, without separability restrictions. This is the culminating point of the present memoir.

Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles

J. M.G. Fell,R. S. Doran
Representations of Algebras Locally Compact Groups and Banach Algebraic Bundles Book PDF

Author : J. M.G. Fell,R. S. Doran
Publisher : Academic Press
Page : 752 pages
File Size : 53,7 Mb
Release : 1988-05-12
Category : Mathematics
ISBN : 0122527224

Get Book

Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles by J. M.G. Fell,R. S. Doran Pdf

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.

An Extension of Mackey's Method to Banach *-Algebraic Bundles

James Michael Gardner Fell
An Extension of Mackey s Method to Banach Algebraic Bundles Book PDF

Author : James Michael Gardner Fell
Publisher : American Mathematical Soc.
Page : 172 pages
File Size : 54,5 Mb
Release : 1969
Category : Banach algebras
ISBN : 9780821812907

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An Extension of Mackey's Method to Banach *-Algebraic Bundles by James Michael Gardner Fell Pdf

The main object of the present memoir is to show that the methods and results of Mackey (1958) and Blattner (1963) on the group extension representation problem go through without any essential change in the larger context of homogeneous Banach *-algebraic bundles (with enough cross sections). In order to dispense with separability we shall follow the topological methods of Blattner rather than Mackey's more detailed measure-theoretic analysis. Except for the last section, Part II of this memoir is in fact a rewriting of much of Blattner's papers (1963), making the modifications necessary in the larger context of bundles. The last Section 17 gives an account of the 'Mackey obstruction' in the nonseparable case, leading to an analogue (Theorem 17.2) of Theorem 8.2 of Mackey's paper for homogeneous Banach *-algebraic bundles, without separability restrictions. This is the culminating point of the present memoir.

Crossed Products of C*-algebras

Dana P. Williams
Crossed Products of C algebras Book PDF

Author : Dana P. Williams
Publisher : American Mathematical Soc.
Page : 528 pages
File Size : 41,7 Mb
Release : 2007
Category : Mathematics
ISBN : 9780821842423

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Crossed Products of C*-algebras by Dana P. Williams Pdf

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.

Induced Representations of Locally Compact Groups

Eberhard Kaniuth,Keith F. Taylor
Induced Representations of Locally Compact Groups Book PDF

Author : Eberhard Kaniuth,Keith F. Taylor
Publisher : Cambridge University Press
Page : 359 pages
File Size : 43,9 Mb
Release : 2013
Category : Mathematics
ISBN : 9780521762267

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Induced Representations of Locally Compact Groups by Eberhard Kaniuth,Keith F. Taylor Pdf

A comprehensive presentation of the theories of induced representations and Mackey analysis applied to a wide variety of groups.

Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras

Theodore W. Palmer
Banach Algebras and the General Theory of Algebras Volume 1 Algebras and Banach Algebras Book PDF

Author : Theodore W. Palmer
Publisher : Cambridge University Press
Page : 820 pages
File Size : 43,5 Mb
Release : 1994-03-25
Category : Mathematics
ISBN : 0521366372

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Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras by Theodore W. Palmer Pdf

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. Proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, particularly in noncommutative harmonic analysis, and an extensive bibliography. Volume II is forthcoming.