C*-Algebras and Their Automorphism Groups

C*-Algebras and Their Automorphism Groups

2nd Edition - August 8, 2018

Write a review

  • Editors: Søren Eilers, Dorte Olesen
  • eBook ISBN: 9780128141236
  • Paperback ISBN: 9780128141229

Purchase options

Purchase options
DRM-free (Mobi, EPub, PDF)
Sales tax will be calculated at check-out

Institutional Subscription

Free Global Shipping
No minimum order


This elegantly edited landmark edition of Gert Kjærgård Pedersen’s C*-Algebras and their Automorphism Groups (1979) carefully and sensitively extends the classic work to reflect the wealth of relevant novel results revealed over the past forty years. Revered from publication for its writing clarity and extremely elegant presentation of a vast space within operator algebras, Pedersen’s monograph is notable for reviewing partially ordered vector spaces and group automorphisms in unusual detail, and by strict intention releasing the C*-algebras from the yoke of representations as Hilbert space operators. Under the editorship of Søren Eilers and Dorte Olesen, the second edition modernizes Pedersen’s work for a new generation of C*-algebraists, with voluminous new commentary, all-new indexes, annotation and terminology annexes, and a surfeit of new discussion of applications and of the author’s later work.

Key Features

  • Covers basic C*-algebras theory in a short and appealingly elegant way, with a few additions and corrections given to the editors by the original author
  • Expands coverage to select contemporary accomplishments in C*-algebras of direct relevance to the scope of the first edition, including aspects of K-theory and set theory
  • Identifies key modern literature in an updated bibliography with over 100 new entries, and greatly enhances indexing throughout
  • Modernizes coverage of algebraic problems in relation to the theory of unitary representations of locally compact groups
  • Reviews mathematical accomplishments of Gert K. Pedersen in comments and a biography


Graduate students and 1st year PhDs studying operator algebras, mathematical physics, and physicists studying quantum mechanics

Table of Contents

  • 1. Abstract C*-Algebras
    2. Concrete C*-Algebras
    3. Functionals and Representations
    4. Decomposition Theory
    5. Weights and Traces
    6. Type I C*-Algebras
    7. Automorphism Groups
    8. Spectral Theory for Automorphism Groups

Product details

  • No. of pages: 538
  • Language: English
  • Copyright: © Academic Press 2018
  • Published: August 8, 2018
  • Imprint: Academic Press
  • eBook ISBN: 9780128141236
  • Paperback ISBN: 9780128141229

About the Editors

Søren Eilers

Søren Eilers obtained his PhD from the University of Copenhagen in 1995 under the supervision of Gert K. Pedersen and coauthored several papers with him. He is an editor for Mathematica Scandinavica and Journal of Mathematical Analysis and Applications and a specialist in the classification of C*-algebras and dynamical systems.

Affiliations and Expertise

Department of Mathematical Sciences, University of Copenhagen, Copenhagen, Denmark

Dorte Olesen

Dorte Olesen received the Gold Medal of the University of Copenhagen in 1974, and a Doctorate of Science in 1981. She coauthored many papers with Gert K. Pedersen before she became Director-General of the Danish IT Centre for Research and Education from 1989-2011. In 2011 she joined the Technical University of Denmark. In 1992, she was awarded the Cross of Knight of Dannebrog by HM Queen Margrethe II, and in 2000 the Cross of the First Degree.

Affiliations and Expertise

Department of Applied Mathematics and Computer Science, Technical University of Denmark, Lyngby, Denmark

Ratings and Reviews

Write a review

Latest reviews

(Total rating for all reviews)

  • EusebioGardella Mon Sep 02 2019

    This is an excellent book

    This is an excellent book