Sale!

Crossed Products of Operator Algebras 1st Edition by Elias Katsoulis, Christopher Ramsey ISBN 9781470450717 1470450712

Name: Crossed Products of Operator Algebras 1st Edition by Elias Katsoulis, Christopher Ramsey ISBN 9781470450717 1470450712
SKU: EB-51652346
Availability: InStock

Original price was: $50.00.Current price is: $25.00.

Crossed Products of Operator Algebras 1st Edition Elias G. Katsoulis Digital Instant Download

Author(s): Elias G. Katsoulis; Christopher Ramsey

ISBN(s): 9781470450717, 1470450712

Edition: 1

File Details: PDF, 949 KB

Year: 2019

Language: English

SKU: EB-51652346 Category: Uncategorized Tags: Christopher Ramsey, Elias G. Katsoulis

Description

Crossed Products of Operator Algebras 1st Edition by Elias Katsoulis, Christopher Ramsey – Ebook PDF Instant Download/Delivery: 9781470450717 ,1470450712
Full download Crossed Products of Operator Algebras 1st Edition after payment

Product details:
ISBN 10: 1470450712
ISBN 13: 9781470450717
Author: Elias Katsoulis, Christopher Ramsey

The authors study crossed products of arbitrary operator algebras by locally compact groups of completely isometric automorphisms. They develop an abstract theory that allows for generalizations of many of the fundamental results from the selfadjoint theory to our context. They complement their generic results with the detailed study of many important special cases. In particular they study crossed products of tensor algebras, triangular AF algebras and various associated C$^*$-algebras. They make contributions to the study of C$^*$-envelopes, semisimplicity, the semi-Dirichlet property, Takai duality and the Hao-Ng isomorphism problem. They also answer questions from the pertinent literature.

Crossed Products of Operator Algebras 1st Edition Table of contents:

Chapter One: Preliminaries
- 2.1 Basic Concepts in Operator Algebras
- 2.2 Group Actions on C*-Algebras
- 2.3 Duality and Coaction
- 2.4 Crossed Products: Definition and Examples
Chapter Two: Construction of Crossed Products
- 3.1 The Construction of the Crossed Product by a Group Action
- 3.2 Invariant States and Representations
- 3.3 Properties of Crossed Products
- 3.4 Examples of Crossed Products: Group Actions and Other Structures
Chapter Three: Equivalence Relations and Crossed Products
- 4.1 Group Actions and Orbit Equivalence Relations
- 4.2 Crossed Products and Ergodic Theory
- 4.3 Induced Representations and Their Role in Crossed Products
Chapter Four: Properties of Crossed Product C-Algebras*
- 5.1 The Structure of Crossed Product C*-Algebras
- 5.2 Pure States and the GNS Construction
- 5.3 Simple and Non-Simple Crossed Products
- 5.4 Traces and the K-Theory of Crossed Products
Chapter Five: Applications to Dynamics and Ergodic Theory
- 6.1 Group Actions and Their Dynamics on Operator Algebras
- 6.2 Crossed Products and Ergodic Theory
- 6.3 Applications in von Neumann Algebras
Chapter Six: Crossed Products and Noncommutative Geometry
- 7.1 Noncommutative Spaces and Crossed Products
- 7.2 Spectral Theory and Crossed Products
- 7.3 Noncommutative Tori and Crossed Products
Chapter Seven: Advanced Topics in Crossed Products
- 8.1 Invariant Subspaces and Classifications of Crossed Products
- 8.2 Noncommutative Group Algebras and Crossed Products
- 8.3 The Structure of Groupoid Crossed Products
- 8.4 Applications in Representation Theory
Chapter Eight: Crossed Products and Classification
- 9.1 The Classification of Crossed Product Algebras
- 9.2 Tiling and Constructions of New Algebras
- 9.3 Index Theory and Its Relation to Crossed Products
Chapter Nine: Open Problems and Future Directions

10.1 Directions for Future Research in Crossed Products
10.2 Unsolved Questions and Conjectures
10.3 Connections to Other Areas of Mathematics

People also search for Crossed Products of Operator Algebras 1st Edition:

r cross product of two vectors

r cross product

vector cross product distributive property

what are the operators in an algebraic expression

double cross algebra with pizzazz answers

Tags: Elias Katsoulis, Christopher Ramsey, Crossed Products, Operator Algebras