Quasi-diagonal flows II
- Autores: Akitaka Kishimoto
- Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 111, Nº 2, 2012, págs. 261-295
- Idioma: inglés
- Enlaces
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Resumen
Two similar notions defined for flows, quasi-diagonality and pseudo-diagonality, are shown to be equivalent; so approximately inner flows on a quasi-diagonal C∗-algebra are quasi-diagonal (not just pseudo-diagonal). We define a notion of MF flow which is weaker than quasi-diagonality and study equivalent conditions following Blackadar and Kirchberg's results on MF algebras and we characterize the dual flow of such on the crossed product as a dual MF flow. In the same spirit we introduce a notion of NF flow and show that NF flows are MF flows on nuclear C∗-algebras, or equivalently, quasi-diagonal flows on nuclear C∗-algebras. We also introduce a notion of strong quasi-diagonality (in parallel with strong quasi-diagonality versus quasi-diagonality for C∗-algebras), whose examples contain AF flows.
