Nuclear dimension of simple $$\mathrm {C}^*$$-algebras

Autor: Jorge Castillejos, Aaron Tikuisis, Samuel Evington, Wilhelm Winter, Stuart White
Rok vydání: 2020
Předmět:
Zdroj: Inventiones mathematicae. 224:245-290
ISSN: 1432-1297
0020-9910
DOI: 10.1007/s00222-020-01013-1
Popis: We compute the nuclear dimension of separable, simple, unital, nuclear, $${\mathcal {Z}}$$ Z -stable $$\mathrm {C}^*$$ C ∗ -algebras. This makes classification accessible from $${\mathcal {Z}}$$ Z -stability and in particular brings large classes of $$\mathrm {C}^*$$ C ∗ -algebras associated to free and minimal actions of amenable groups on finite dimensional spaces within the scope of the Elliott classification programme.
Databáze: OpenAIRE
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