Smale space C*-algebras have nonzero projections
| Autor: | Robin J. Deeley, Allan Yashinski, Magnus Goffeng |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
Rank (linear algebra) Applied Mathematics General Mathematics 010102 general mathematics Structure (category theory) Zero (complex analysis) Mathematics - Operator Algebras Dynamical Systems (math.DS) Space (mathematics) 01 natural sciences Mixing (mathematics) Simple (abstract algebra) 0103 physical sciences FOS: Mathematics 010307 mathematical physics Homoclinic orbit 0101 mathematics Mathematics - Dynamical Systems Operator Algebras (math.OA) Mathematics |
| Popis: | 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. 15 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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