The nuclear dimension of O-stable C-algebras

Joan Bosa, James Gabe, Aidan Sims*, Stuart White


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We show that every nuclear O-stable -homomorphism with a separable exact domain has nuclear dimension at most 1. In particular separable, nuclear, O-stable C-algebras have nuclear dimension 1. We also characterise when O-stable C-algebras have finite decomposition rank in terms of quasidiagonality and primitive-ideal structure, and determine when full O2-stable -homomorphisms have nuclear dimension 0.

TidsskriftAdvances in Mathematics
StatusUdgivet - 4. jun. 2022

Bibliografisk note

Funding Information:
Research partially supported by an Alexander von Humboldt Foundation Fellowship (SW), Australian Research Council grant DP180100595 (AS), a Carlsberg Foundation Internationalisation Fellowship (JG), by the DGI-MINECO and European Regional Development Fund through grant MTM2017-83487-P (JB), EPSRC:EP/R025061/1 (SW), and the Beatriu de Pinós postdoctoral programme of the Government of Catalonia's Secretariat for Universities and Research 2017-BP-0079 (JB).

Publisher Copyright:
© 2022 Elsevier Inc.


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