A topological invariant for continuous fields of the Cuntz algebras
Operator Algebras
2020-02-18 v1
Abstract
For a continuous field of the Cuntz algebra over a finite CW complex, we introduce a topological invariant, which is an element in Dadarlat-Pennig's generalized cohomology group, and prove that the invariant is trivial if and only if the field comes from a vector bundle via Pimsner's construction.
Keywords
Cite
@article{arxiv.2002.06807,
title = {A topological invariant for continuous fields of the Cuntz algebras},
author = {Taro Sogabe},
journal= {arXiv preprint arXiv:2002.06807},
year = {2020}
}
Comments
23 pages