# Kyoto Operator Algebra Seminar

Organizers: Masaki IZUMI, Narutaka OZAWA, Yoshikata KIDA
Time and Location: 15:00 - 16:30 on Tuesday at RIMS ???
Seminar Description: This seminar features both research and introductory talks on topics in Operator Algebra, Noncommutative Geometry, Ergodic Theory, and Group Theory of various kinds (geometric, measure theoretic, functional analytic, etc.). The talks are informal and take between an hour and an hour and a half.
Useful Tips: How to Give a Good Colloquium. Advice on Giving Talks (Upgrade). Myths.
Memento: 2011  2012  2013

## 2014 Spring/Summer

 Mar. 24 Monday 10:30 - 12:00 RIMS 110 Detlev Buchholz (Göttingen) Quantum systems and resolvent algebras The standard $\mathrm{C}^*$-algebraic version of the Heisenberg algebra of canonical commutation relations, the Weyl algebra often causes difficulties since it does not admit physically interesting dynamical laws as automorphism groups. In this talk a $\mathrm{C}^*$-algebraic version of the canonical commutation relations is presented which circumvents such problems. It is based on the resolvents of the canonical operators and their algebraic relations. The resulting $\mathrm{C}^*$-algebras, the resolvent algebras, have many desirable analytic properties. In fact, they are of type I (postliminal) for finite quantum systems and nuclear in the infinite case. In either case they admit existence of an abundance of one--parameter automorphism groups corresponding to physically relevant dynamics. They are also useful in the discussion of supersymmetry and systems with constraints. Moreover, the resolvent algebras have a rich and interesting ideal structure which encodes specific information about the dimension of the underlying physical system. They thus provide an excellent framework for the rigorous analysis of finite and infinite quantum systems. Apr. 22 15:00 - 16:30 RIMS ??? Benoit Collins (TBA) TBA tba May 13 15:00 - 16:30 RIMS ??? Norio Nawata (TBA) TBA tba June 03 15:00 - 16:30 RIMS ??? TBA (tba) TBA tba Sep. 08-10 RIMS 420 Recent Developments in Operator Algebras (program (tba))

Back to the main Index.