From an August 2016 combination summer school and conference at Tohoku University in Japan, a survey article and 11 research articles explore
operator algebras and mathematical physics.
Sakai,
Operator algebras in dynamical systems, CAMBRIDGE UNIVERSITY PRESS, 1991.
Takesaki, Theory of
operator algebras. I, Springer, New York, 1979.
Very early, in the beginnings of the theory of partial actions of groups in the context of
operator algebras, many unexpected connections were explored.
Zhu, "Modular invariance of characters of vertex
operator algebras," Journal of the American Mathematical Society, vol.
Meng, "Continuity of ([alpha], [beta])-derivations of
operator algebras," Journal of the Korean Mathematical Society, vol.
We have considered how primes (or prime numbers) act on
operator algebras (e.g., see [9], [10] and [12]).
Vertex
operator algebras with central charge 1/2 and -68/7 ...
He presents the theory of Krichever-Nobikov algebras, Lax
operator algebras, their interaction, elements of their representation theory, relations to moduli spaces of Riemann surface and holomorphic vector bundles of them and to Lax integrable systems and conformal field theory.
Other topics of the 17 papers include nonself-adjoint
operator algebras for dynamical systems, noncommutative geometry as a functor, examples of mases in C*-algebras, simple group graded rings, and classifying monotone complete algebras of operators.