Smale space C*-algebras have non-zero projections

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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.

Detaljer

Författare
Externa organisationer
  • University of Colorado at Boulder
  • University of Maryland
  • Chalmers Tekniska Högskola
  • Göteborgs universitet
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematisk analys
Originalspråkengelska
Sidor (från-till)1625-1639
TidskriftProceedings of the American Mathematical Society
Volym148
Utgåva nummer4
StatusPublished - 2020
PublikationskategoriForskning
Peer review utfördJa
Externt publiceradJa