C*-Algebras and their Automorphism Groups - 2nd Edition - ISBN: 9780128141229

C*-Algebras and their Automorphism Groups, Volume TBD

2nd Edition

Authors: Søren Eilers Dorte Olesen
Paperback ISBN: 9780128141229
Imprint: Academic Press
Published Date: 1st April 2018
Page Count: 460
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Table of Contents

1. Abstract C-Algebras
2. Concrete C
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


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 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 diminishing the place of von Neumann algebras as an ancillary to C-algebrae. Under the editorship of Søren Eilers, the second edition modernizes Pedersen’s work for a new generation of C*-algebraists, with voluminous new commentary, clearer presentation, all-new indexes, annotation and terminology annexes, and a surfeit of new discussion of applications, including the K-theory toolbox.

Key Features

  • Expands coverage to identify key results discovered over 40 years of C*-algebra research, including K-theory
  • Replaces antiquated notation and terminology with modern variants, and greatly enhances indexing throughout
  • Modernizes coverage of algebraic problems in relation to the theory of unitary representations of locally compact groups
  • Reveals how to apply results to the modern mathematical formulation of quantum mechanics in Hilbert spaces
  • Reviews the mathematical accomplishments of Gert Kjærgård Pedersen in a new biography


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


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© Academic Press 2018
Academic Press
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About the Authors

Søren Eilers Author

Søren Eilers is a Professor of Mathematics in the Department of Mathematical Sciences at the University of Copenhagen. He heads the Center of Experimental Mathematics in Number Theory, Operator Algebras, and Topology. He is an editor for Mathematica Scandinavica, and a member of the Centre for Symmetry and Deformation. He is a specialist in the classification of C*-algebras and dynamical systems and has been an active researcher in the area covered by C*AG since 1991.

Affiliations and Expertise

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

Dorte Olesen Author

Dorte Olesen is President of the Danish Society for the Dissemination of Natural Sciences. She participates in large research and development projects in mathematics and technology, dissemination of natural sciences and technology, and basic research in mathematics. Dorte also has expertise is in large European research and development projects and dissemination of natural sciences and technology, as well as operator algebras.

Affiliations and Expertise

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