A solution of the maximality problem for one-parameter dynamical systems

作者：Peligrad Costel^*

来源：Advances in Mathematics, 2018, 329: 742-780.

DOI：10.1016/j.aim.2018.02.026

• One-parameter dynamical system
• Connes spectrum
• Maximal subalgebra

We prove a maximality theorem for one-parameter dynamical systems that include W*-, C*- and multiplier one-parameter dynamical systems. Our main result is new even for one parameter actions on commutative multiplier algebras including the algebra C-b(R) of bounded continuous functions on R acted upon by translations. The methods we develop and use in our characterization of maximality include harmonic analysis, topological vector spaces and operator algebra techniques.

• 出版日期2018-4-30