C*-Algebras and Their Automorphism Groups

2. Auflage 2018
ISBN: 978-0-12-814122-9
Verlag: William Andrew Publishing

Buch, Englisch, 538 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 860 g

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.

Zielgruppe

<p>Graduate students and 1<SUP>st</SUP> year PhDs studying operator algebras, mathematical physics, and physicists studying quantum mechanics.</p>

Autoren/Hrsg.

Eilers, Søren

Olesen, Dorte

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Mathematik | Informatik Mathematik Algebra

Inhaltsverzeichnis

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

Über Autor(innen)

Eilers, Søren
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.

Olesen, Dorte
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.