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- W280445568 abstract "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." @default.
- W280445568 created "2016-06-24" @default.
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- W280445568 date "2012-12-01" @default.
- W280445568 modified "2023-10-04" @default.
- W280445568 title "Quasi-diagonal flows II" @default.
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- W280445568 doi "https://doi.org/10.7146/math.scand.a-15227" @default.
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