Noncommutative covering projections and $K$-homology

Abstract

If $X$ is a topological space then there is a natural homomorphism ${\pi }_1(X)\to K_1(X)$ from a fundamental group to a $K_1$-homology group. Covering projections depend of fundamental group. So $K_1$-homology groups are interrelated with covering projections. This article is concerned with a noncommutative analogue of this interrelationship.

15 pages, 13 references

References in corpus (1)

• Morita equivalences induced by bimodules over Hopf-Galois extensions

Cited by in corpus (4)

• Infinite Noncommutative Covering Projections
• Noncommutative Generalization of Wilson Lines
• Finite covering projections of noncommutative torus
• The Unique Path Lifting for Noncommutative Covering Projections