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arXiv · 1607.01724

Cyclic noncommutative covering projections

Petr Ivankov
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Abstract

The Gelfand - Na\u{i}mark theorem supplies the one to one correspondence between commutative $C^*$-algebras and locally compact Hausdorff spaces. So any noncommutative $C^*$-algebra can be regarded as a generalization of a topological space. Generalizations of several topological invariants can be defined by algebraical methods. This article contains a pure algebraical construction of (noncommutative) covering projections with finite cyclic groups of covering transformations.

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Petr Ivankov. 2016-07-06. Cyclic noncommutative covering projections. https://arxiv.org/abs/1607.01724

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