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. Expands coverage to identify key results discovered over 40 years of C*-algebra research, including K-theoryReplaces antiquated notation and terminology with modern variants, and greatly enhances indexing throughoutModernizes coverage of algebraic problems in relation to the theory of unitary representations of locally compact groupsReveals how to apply results to the modern mathematical formulation of quantum mechanics in Hilbert spacesReviews the mathematical accomplishments of Gert Kjærgård Pedersen in a new biography INDICE: 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
- ISBN: 978-0-12-814122-9
- Editorial: Academic Press
- Encuadernacion: Rústica
- Páginas: 460
- Fecha Publicación: 01/04/2018
- Nº Volúmenes: 1
- Idioma: Inglés