English

Continuous families of properly infinite C*-algebras

Operator Algebras 2015-07-10 v1

Abstract

Any unital separable continuous C(X)-algebra with properly infinite fibres is properly infinite as soon as the compact Hausdorff space X has finite topolog-ical dimension. We study conditions under which this is still the case if the compact space X has infinite topological dimension.

Keywords

Cite

@article{arxiv.1507.02535,
  title  = {Continuous families of properly infinite C*-algebras},
  author = {Etienne Blanchard},
  journal= {arXiv preprint arXiv:1507.02535},
  year   = {2015}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1312.7722