5 edition of **Crossed products with continuous trace** found in the catalog.

- 87 Want to read
- 3 Currently reading

Published
**1996**
by American Mathematical Society in Providence, R.I
.

Written in English

- C*-algebras.,
- Locally compact groups.,
- Representations of groups.,
- Crossed products.

**Edition Notes**

Statement | Siegfried Echterhoff. |

Series | Memoirs of the American Mathematical Society,, no. 586 |

Classifications | |
---|---|

LC Classifications | QA3 .A57 no. 586, QA326 .A57 no. 586 |

The Physical Object | |

Pagination | vii, 134 p. ; |

Number of Pages | 134 |

ID Numbers | |

Open Library | OL984154M |

ISBN 10 | 0821805630 |

LC Control Number | 96021893 |

Professor Rosenberg's 10 lectures will focus primarily on the following topics: (1) The basic structure of string theories and the idea of T-duality, (2) K-theory and its relevance to physics, (3) Continuous-trace C*-algebras, twisted K-theory, C*-crossed products, and their K-theory, (4) The topology of T-duality and T-duality via crossed. Track and Trace Systems. In recent years, track and trace systems Systems that electronically record the paths shipments take. that electronically record the paths shipments take has become almost as important to businesses as shipping costs themselves. Being able to help trace products helps a company anticipate events that could disrupt the supply chain, including order shipping mistakes.

Introduction This book is meant to provide the tools necessary to begin doing research involving crossed product C∗-algebras. Crossed products of operator algebras can trace their origins back to statistical mechanics, where crossed products were called covariance algebras, and to the group measure space constructions of Murray and von Neu-mann. Crossed Products With Continuous Trace - Hardcover - List Price: $ Author: Siegfried Echterhoff. 7. Extensions of Positive-Definite Functions - Paperback - List Price: $ Author: J R McMullen. 8. Fourier Analysis of Unbounded Measures on Locally Compact Abelian Groups - Book - List Price: $

Notes on Unitizations and Crossed Products. Here are some notes on Unitizations and Crossed Products of C*-algebras originally developed for a course in , and then updated in They rely heavily on E. Christopher Lance's book Hilbert C*-modules: a toolkit for operator algebraists and on Iain Raeburn and Dana P. Williams' book Morita equivalence and continuous trace C*-algebras for the. The book touches on a series of other aspects and applications, such as twisted K-theory, equivariant theories, continuous-trace C∗-algebras, Takai duality, index theory, pseudo-differential operators and the universal coefficient theorem. And this is far from a complete list of subjects which are discussed to varying degrees in the book.

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Get this from a library. Crossed products with continuous trace. [Siegfried Echterhoff] -- This memoir presents an extensive study of strongly continuous actions of abelian locally compact groups on [italic capital]C*-algebras with continuous trace. Expositions of the Mackey-Green-Rieffel.

Subgroup crossed products and duality 69 78; Chapter 5. Crossed products with continuous trace 77 86; Subgroup crossed products and σ-proper G-spaces 77 86; Pointwise unitary subgroup actions 82 91; Systems with continuous choices of maximally pointwise unitary subgroups 91 ; Continuous trace for systems with Hausdorff.

Introduction --Preliminaries and basic definitions --Morita equivalent twisted actions and duality --Representations of type I abelian twisted systems --Subgroup crossed products --Crossed products with continuous trace --Applications and examples.

Series Title: Memoirs of the American Mathematical Society, no. Responsibility. Crossed Products of C*-Algebras. (For an exposition of the latter at the same level, see my book with Iain Raeburn Morita Equivalence and Continuous-Trace C*-algebras.) The book is self-contained modulo the prerequisites described above and contains several appendices covering ancillary material such as vector-valued integration, C 0 (X).

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 mathematics, and more specifically in the theory of von Neumann algebras, a crossed product is a basic method of constructing a new von Neumann algebra from a von Neumann algebra acted on by a is related to the semidirect product construction for groups. (Roughly speaking, crossed product is the expected structure for a group ring of a semidirect product group.

Advancing research. Creating by: Williams' other book, "Crossed Products of C*-Algebras", refers to this one in many places, which is an indication of its wealth of information.

The reader will find that the proofs are clear and that the authors' writing style makes for easier reading. This book provides an excellent introduction to Morita Equivalence and Continuous-trace Cited by: This book is meant to provide the tools necessary to begin doing research involving crossed product C∗-algebras.

Crossed products of operator algebras can trace their origins back to statistical mechanics, where crossed products were called covariance algebras, and to the group measure space constructions of Murray and von Neu-mann. This book contains nearly all of the important results that one should know in order to start mastering the concept of Morita equivalence of C*-algebras.

Williams' other book, "Crossed Products of C*-Algebras", refers to this one in many places, which is an indication of its wealth of information.5/5.

Topological K-theory is one of the most important invariants for noncommutative algebras equipped with a suitable topology or bornology. Bott periodicity, homotopy invariance, and various long exact sequences distinguish it from algebraic K-theory.

We describe a bivariant K-theory for bornological. and reduced crossed products, with full details given for discrete groups and some indications of the theory for general locally compact groups.

This part ends with a number of explicit computations of crossed products by discrete groups. Part3(Sections11{14) is about structure theory for crossed products of simple C*-algebras by nite groups. We define the crossed product of a pro-C*-algebra A by a Hilbert A-A pro-C*-bimodule and we show that it can be realized as an inverse limit of crossed products of C*-algebras by Hilbert C*: Maria Joita.

C*-crossed products by ℝ, III: Traces Article (PDF Available) in Acta Mathematica Sinica 27(7) July with 51 Reads How we measure 'reads'.

A few basics of 퐶*-algebras and crossed products 25 34; Continuous-trace algebras and twisted 퐾-theory 37 46; More on crossed products and their 퐾-theory 47 56; The topology of T-duality and the Bunke-Schick construction 55 64; T-duality via crossed products 63 72; Higher-dimensional T-duality via topological methods 71 Find many great new & used options and get the best deals for Oberwolfach Seminars: Topological and Bivariant K-Theory 36 by Ralf Meyer, Jonathan M.

Rosenberg and Joachim Cuntz (, Paperback) at the best online prices at eBay. Free shipping for many products. In mathematics, a von Neumann algebra or W*-algebra is a *-algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity is a special type of C*-algebra.

Von Neumann algebras were originally introduced by John von Neumann, motivated by his study of single operators, group representations, ergodic theory and quantum mechanics. Home» MAA Publications» MAA Reviews» Operator Algebras: Theory of C*-Algebras and von Neumann Algebras Operator Algebras: Theory of C*-Algebras.

Jonathan M. Rosenberg Primary research areas: Representation theory of Lie groups, C*-algebras, K-theory, topology and geometry of manifolds, index theory of elliptic operators, noncommutative geometry, related areas of mathematical physics.

Some old publications now available on the web: (with Calvin C. Moore) Comments on a paper of I. Brown and Y. Guivarc'h, Annales Scientifiques de l.

Trace Analysis is a highly practical book which deals with the science rather than the paperwork of quality assurance systems. Produced as part of the UK Valid Analytical Measurement (VAM) initiative, it provides the analyst with a systematic approach across the broad spectrum of trace analysis, offering practical advice and guidance on methodology and techniques.

Lecture 7. T-Duality via Crossed Products. A curious discovery in [7] and [8] is that topological T-duality for principal circle bundles is formally analogous to a kind of duality for crossed products of actions of R on continuous-trace algebras, for which the action on the.

Abstract. We lift an action of a torus \({\mathbb{T}^n}\) on the spectrum of a continuous trace algebra to an action of a certain crossed module of Lie groups that is an extension of \({\mathbb{R}^n}\).We compute equivariant Brauer and Picard groups for this crossed module and describe the obstruction to the existence of an action of \({\mathbb{R}^n}\) in our by: 1.continuous trace C* -algebra, then the reduced crossed product has the same propety (Proposition ).

Moreover, if we consider the universal crossed product obtained in the case of G being a groupoid, and the universal crossed product is with continuous trace, then the reduced crossed product has the same property. In SectionweAuthor: Daniel Tudor.