A classification of finite simple amenable Z-stable C*-algebras, II, --C*-algebras with rational generalized tracial rank one

Guihua Gong; Huaxin Lin; Z. Niu

A classification of finite simple amenable Z-stable C-algebras, II, --C-algebras with rational generalized tracial rank one

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arxiv 1909.13382 v3 pith:HIOW2IIE submitted 2019-09-29 math.OA

Guihua Gong , Huaxin Lin , Z. Niu This is my paper · ORCID

classification math.OA

keywords algebrasamenablesimplefiniteseparableunitalz-stableclassification

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A classification theorem is obtained for a class of unital simple separable amenable Z-stable C*-algebras which exhausts all possible values of the Elliott invariant for unital stably finite simple separable amenable Z-stable C*-algebras. Moreover, it contains all unital simple separable amenable C*-algebras which satisfy the UCT and have finite rational tracial rank

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Cuntz--Pimsner algebras of partial automorphisms twisted by vector bundles II: Nuclear dimension
math.OA 2025-06 conditional novelty 6.0 of 10

Minimal partial automorphisms twisted by vector bundles over compact infinite finite-dimensional base spaces produce Cuntz-Pimsner algebras that are classifiable by the Elliott invariant, with nuclear dimension at most one.

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