Combinatorial Set Theory of C*-algebras (eBook)

Ilijas Farah (Autor)

eBook Download: PDF

2019 | 1st ed. 2019
XXX, 517 Seiten
Springer International Publishing (Verlag)
978-3-030-27093-3 (ISBN)

Infos

This book explores and highlights the fertile interaction between logic and operator algebras, which in recent years has led to the resolution of several long-standing open problems on C*-algebras. The interplay between logic and operator algebras (C*-algebras, in particular) is relatively young and the author is at the forefront of this interaction. The deep level of scholarship contained in these pages is evident and opens doors to operator algebraists interested in learning about the set-theoretic methods relevant to their field, as well as to set-theorists interested in expanding their view to the non-commutative realm of operator algebras. Enough background is included from both subjects to make the book a convenient, self-contained source for students.  A fair number of the exercises form an integral part of the text. They are chosen to widen and deepen the material from the corresponding chapters. Some other exercises serve as a warmup for the latter chapters.

Ilijas Farah is Professor of Mathematics at York University in Toronto, Canada. His research interests include set theory and logic, and their applications to operator algebras. Prof. Farah is a leading expert and renowned expositor in operator algebras that apply various concepts, tools, and ideas from logic and set theory to classification problems in operator algebras. In addition to being an invited speaker at the 2014 ICM, Prof. Farah is the recipient of the Sacks Prize (1997), the Governor General's Gold Medal for one of the two best doctorates at the University of Toronto (1998), The Canadian Association for Graduate Studies/University Microfilms International Distinguished Dissertation Award (1998), the Dean's award for outstanding research (2006), and Faculty of Science Excellence in Research Award (2017).

Produkt-Details

• Erscheint lt. Verlag: 24.12.2019
• Reihe/Serie: Springer Monographs in Mathematics
• Reihe/Serie: Springer Monographs in Mathematics
• Zusatzinfo: XXX, 517 p. 28 illus.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: Aacai • Abelian C*-algebras • automorphisms massive quotient • Axiomatic set theory • C*-algebras • Calkin algebra • combinatorial set theory • corona algebras • descriptive set theory • infinitary combinatorics • irreducible representations • multiplier algebra • set-theoretic axioms • tracial states
• ISBN-10: 3-030-27093-9 / 3030270939
• ISBN-13: 978-3-030-27093-3 / 9783030270933