Contact: Chris Bourne cbourne [at] nagoya-u.jp, bourne.christopher.jack.x7 [at] f.mail.nagoya-u.ac.jp
Office Hours: Tuesday 12:00-13:00, Thursday 14:00-15:00.
Location: Room 419, Humanities Common Facility Building (A4② on the Campus Map)
I will also be in Rm 505 of the Mathematics Building on most Fridays.
この科目は英語で実施するので，日本語を母国語をとする学生には英語の数学を勉強する機会があって，挑戦して欲しいです．
- Banach and C*-algebras
- The Gelfand transform
- The spectral theorem and functional calculus
- Positivity
- The Gelfand-Naimark-Segal (GNS) construction
- C*-algebras for discrete groups
- Discrete group actions and crossed products (if time)
- C*-algebras of étale groupoids (if time)
Lecture notes (work-in-progress)
Lecture notes by Ivan F. Wilde
Lecture notes by Ian F. Putnam
関数解析入門（Lecture notes on functional analysis）by Prof. Yamagami
The content of the lectures can also be found in several textbooks. Students are encouraged to look at several references and find a text that suits them. Some options are given below.
Gerard J. Murphy, C*-algebras and operator theory. Academic Press, 1990.
Kenneth R. Davidson, C*-algebras by example. American Mathematical Society, 1996.
Richard V. Kadison, John R. Ringrose, Fundamentals of the Theory of Operator Algebras. American Mathematical Society, 1997.
Gert K. Pedersen, C*-algebras and their automorphism groups, 2nd edition. Academic Press, 2018.
Dana P. Williams, A tool kit for groupoid C*-algebras, American Mathematical Society, 2019.
生西 明夫, 中神 祥臣， 作用素環入門 I，岩波書店，2017．
Additional materials and resources will be distributed where necessary.
Homework 1 (solutions), Homework 2 (solutions), Homework 3 (solutions)