Smale space C∗-algebras have nonzero projections
Artikel i vetenskaplig tidskrift, 2020

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.


Robin J. Deeley

University of Colorado at Boulder

Magnus C H T Goffeng

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori

Allan Yashinski

University of Maryland

Proceedings of the American Mathematical Society

0002-9939 (ISSN) 1088-6826 (eISSN)

Vol. 148 4 1625-1639



Algebra och logik




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