Jorge Castillejos, Kang Li, Gábor Szabó
Abstract
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Abstract We investigate the notion of tracial ${\mathcal {Z}}$ -stability beyond unital $\mathrm {C}^*$ -algebras, and we prove that this notion is equivalent to ${\mathcal {Z}}$ -stability in the class of separable simple nuclear $\mathrm {C}^*$ -algebras.
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Abstract We investigate the notion of tracial ${\mathcal {Z}}$ -stability beyond unital $\mathrm {C}^*$ -algebras, and we prove that this notion is equivalent to ${\mathcal {Z}}$ -stability in the class of separable simple nuclear $\mathrm {C}^*$ -algebras.
Key concepts: Unital, Mathematics, Separable space, Simple (philosophy), Stability (learning theory), Class (philosophy), Pure mathematics, Algebra over a field