算子代数上的紧群作用及其谱

arXiv: Operator Algebras Pub Date : 2018-04-24 DOI:10.7146/math.scand.a-119079

C. Peligrad

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引用次数: 0

摘要

考虑一类具有紧非阿贝尔群的动力系统，它包括C*-、W*-和乘子动力系统。我们证明了与第3节中定义的不动点代数的简单性或素性等代数性质有关的结果。，对作用的光谱性质，包括康涅斯光谱和强康涅斯光谱。

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Compact group actions on operator algebras and their spectra

We consider a class of dynamical systems with compact non abelian groups that include C*-, W*- and multiplier dynamical systems. We prove results that relate the algebraic properties such as simplicity or primeness of the fixed point algebras as defned in Section 3., to the spectral properties of the action, including the Connes and strong Connes spectra.

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arXiv: Operator Algebras

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