C*-Algebras and Their Automorphism Groups

A comprehensively annotated and sensitively updated landmark edition of Gert Kjærgård Pedersen’s classic 1979 reference on operator algebras

Søren Eilers (Edited by), Dorte Olesen (Edited by)

9780128141229

Paperback / softback, published 17 August 2018

538 pages
22.9 x 15.1 x 3.3 cm, 0.86 kg

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.

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

Subject Areas: Applied mathematics [PBW]