activity
20062025
most citedQuantization of noncompact coverings

10 citations · 35 across the 25 of their papers we have counts for

collaborators

25 papers

math.OA2025

Algebraic topology of -algebras

Petr Ivankov

Any -algebra can be regarded as a generalization of locally compact, Hausdorff topological space . From the commutative commutative Gelfand-Na\uımark theorem it fo…

math.OA2023

Grothendieck topology of -algebras

Petr R. Ivankov

For any topological space there is a sheaf cohomology. A Grothendieck topology is a generalization of the classical topology such that it also possesses a sheaf cohomology. On the…

math.OA2019

Noncommutative Geometry of Quantized Coverings

Petr Ivankov

There are theories of coverings of -algebras which can be included into a following list: coverings of commutative -algebras, coverings of -algebras of groupoids and…

math.OA2018

Finite Nocommutative Coverings and Flat Connections

Petr Ivankov

Any flat connection on a principal fibre bundle comes from a linear representation of the fundamental group. The noncommutative analog of this fact is discussed here.

math.OA2018

Quantization of Noncompact Coverings and Strong Morita Equivalence

Petr Ivankov

Any finite algebraic Galois covering corresponds to an algebraic Morita equivalence. Here the -algebraic analog of this fact is proven, i.e. any noncommutative finite-fold cov…

math.OA2017

Unoriented Spectral Triples

Petr Ivankov

Any oriented Riemannian manifold with a Spin-structure defines a spectral triple, so the spectral triple can be regarded as a noncommutative Spin-manifold. Otherwise for any unorie…