半交叉产品中近似单位的理想

Pub Date : 2023-09-12 DOI:10.4153/s0008439523000711

Charalampos Magiatis

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引用次数: 0

摘要

摘要我们刻画了半交积$C_0(X)\乘以_\phi {\mathbb Z}_+$的理想，它与X的闭子集的合适序列相关联，左(resp)。对)近似单位。因此，我们得到了理想的完整刻画。右)近似单位，假设X是可度量的，动力系统$(X，\phi)$不包含周期点。

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Ideals with approximate unit in semicrossed products

Abstract We characterize the ideals of the semicrossed product $C_0(X)\times _\phi {\mathbb Z}_+$ , associated with suitable sequences of closed subsets of X , with left (resp. right) approximate unit. As a consequence, we obtain a complete characterization of ideals with left (resp. right) approximate unit under the assumptions that X is metrizable and the dynamical system $(X,\phi )$ contains no periodic points.

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