Modular Theory in Operator Algebras

Discusses the fundamentals and latest developments in operator algebras, focusing on continuous and discrete decomposition of factors of type III.

List of contents

Preface to the second edition; Preface to the first edition; 1. Normal weights; 2. Conditional expectations and operator valued weights; 3. Groups of automorphisms; 4. Crossed products; 5. Continuous decompositions; 6. Discrete decompositions; Appendix; References; Subject Index; Notation Index.

About the author

Şerban Valentin Strătilă is Professor at the Institute of Mathematics, Romanian Academy, and at the Department of Mathematics, University of Bucharest, Romania. His current research areas include operator algebras and representation theory. He received the 1975 Simion Stoilow Prize for Mathematics by the Romanian Academy. He has published Lectures on von Neumann Algebras, 2nd edition (2019) with Cambridge University Press.

Summary

Catering to the needs of students of mathematics and physics, and researchers interested in operator algebras, noncommutative geometry and free probability, this book discusses continuous and discrete decomposition of factors of type III and all the necessary results.

Product details

• Authors: Stratila Serban Stratila, Str&, Serban Valentin Stratila, Şerban Valentin Strătilă
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 30.11.2020
• EAN: 9781108489607
• ISBN: 978-1-108-48960-7
• No. of pages: 456
• Series: Cambridge Iisc; Cambridge IISc Series
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; Algebra, MATHEMATICS / Algebra / Abstract