Inheritance of divisibility forms a large subalgebra

Fan, Qinqin; Fang, Xiaochun; Zhao, Xueni

doi:10.1007/s10473-021-0105-5

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2023

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“…In [16], Archey, Buck, and Phillips studied the property of tracial Z-absorbing when A is stably finite. Fan, Fang, and Zhao investigated several comparison properties in [17], and they also studied the inheritance of almost divisibility [18] and the inheritance of the tracial nuclear dimension for centrally large subalgebras [19]. Following Lin's tracial approximation and Phillips' large subalgebras, Elliott, Fan, and Fang introduced the notion of weakly tracially approximated C*-algebras, which generalizes both tracial approximation and centrally large subalgebras.…”

Section: Introductionmentioning

confidence: 99%