C*-Algebras and Their Automorphism Groups, Second Edition, is an updated edition of Gert Kjærgård Pedersen's 1979 classic. This edition reflects the wealth of novel results revealed over the past forty years. Revered for its writing clarity and elegant presentation of operator algebras, Pedersen's monograph is notable for reviewing partially ordered vector spaces and group automorphisms in unusual detail, diminishing von Neumann algebras as an ancillary to C*-algebrae. Edited by Søren Eilers, this edition modernizes Pedersen's work for a new generation of C*-algebraists, including new commentary and indexes, annotation and terminology appendices, and new applications, including the K-theory toolbox.
- 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
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
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.
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.