English

Coverings of foliation algebras

Operator Algebras 2017-08-22 v2

Abstract

This article is devoted to the geometric construction which states a natural correspondence between topological coverings of a foliated manifolds and noncommutative coverings of the operator algebras. However this correspondence is not one to one because there are noncommutaive coverings of foliations which do not comply with discussed in this article construction.

Keywords

Cite

@article{arxiv.1708.02128,
  title  = {Coverings of foliation algebras},
  author = {Petr Ivankov},
  journal= {arXiv preprint arXiv:1708.02128},
  year   = {2017}
}

Comments

41 pages, 14 references, substantial text overlap with arXiv:1702.07918, text overlap with arXiv:math/0601054, arXiv:math/0504095 by other authors