论文标题

对操作员代数和应用的紧凑型组动作的二元性:不可约包含和GALOIS对应关系

Duality for compact group actions on operator algebras and applications: irreducible inclusions and Galois correspondence

论文作者

Peligrad, Costel

论文摘要

我们考虑对C* - 和W* - 代数的紧凑型组动作。 We prove results that relate the duality property of the action (as defined in the Introduction) with other relevant properties of the system such as the relative commutant of the fixed point algebras being trivial (called the irreducibility of the inclusion) and also to the Galois correspondence between invariant C*-subalgebras containing the fixed point algebra and the class of closed normal subgroups of the compact group.

We consider compact group actions on C*- and W*- algebras. We prove results that relate the duality property of the action (as defined in the Introduction) with other relevant properties of the system such as the relative commutant of the fixed point algebras being trivial (called the irreducibility of the inclusion) and also to the Galois correspondence between invariant C*-subalgebras containing the fixed point algebra and the class of closed normal subgroups of the compact group.

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