English

Cyclic noncommutative covering projections

Operator Algebras 2016-07-07 v1

Abstract

The Gelfand - Na\u{i}mark theorem supplies the one to one correspondence between commutative CC^*-algebras and locally compact Hausdorff spaces. So any noncommutative CC^*-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.

Keywords

Cite

@article{arxiv.1607.01724,
  title  = {Cyclic noncommutative covering projections},
  author = {Petr Ivankov},
  journal= {arXiv preprint arXiv:1607.01724},
  year   = {2016}
}

Comments

18 pages, 32 references

R2 v1 2026-06-22T14:47:22.606Z