Smale space C*-algebras have nonzero projections
Operator Algebras
2020-07-21 v2 Dynamical Systems
Abstract
The main result of the present paper is that the stable and unstable C*-algebras associated to a mixing Smale space always contain nonzero projections. This gives a positive answer to a question of the first listed author and Karen Strung and has implications for the structure of these algebras in light of the Elliott program for simple C*-algebras. Using our main result, we also show that the homoclinic, stable, and unstable algebras each have real rank zero.
Keywords
Cite
@article{arxiv.1901.10324,
title = {Smale space C*-algebras have nonzero projections},
author = {Robin J. Deeley and Magnus Goffeng and Allan Yashinski},
journal= {arXiv preprint arXiv:1901.10324},
year = {2020}
}
Comments
15 pages