Quantization of noncompact coverings

Abstract

The concept of quantization consists in replacing commutative quantities by noncommutative ones. In mathematical language an algebra of continuous functions on a locally compact topological space is replaced with a noncommutative $C^{\ast }$-algebra. Some classical topological notions have noncommutative generalizations. This article is concerned with a generalization of coverings.

79 pages, 16 references

Cited by in corpus (9)

• Frobenius structures over Hilbert C*-modules
• Lifting spectral triples to noncommutative principal bundles
• Noncommutative Coverings of Quantum Tori
• Coverings of Spectral Triples
• An Atiyah Sequence for Noncommutative Principal Bundles
• Coverings of foliation algebras
• Finite Nocommutative Coverings and Flat Connections
• Coverings of Quantum Groups
• Quantization of Noncompact Coverings and Strong Morita Equivalence