Cyclic noncommutative covering projections

Abstract

The Gelfand - Naĭmark theorem supplies the one to one correspondence between commutative $C^{\ast }$-algebras and locally compact Hausdorff spaces. So any noncommutative $C^{\ast }$-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.

18 pages, 32 references

References in corpus (1)

• Algebras of distributions suitable for phase-space quantum mechanics. I