Classification of simple $C^*$-algebras of tracial topological rank zero

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dc.creatorLin, Huaxin
dc.date2000-11-13
dc.date.accessioned2026-07-07T04:38:33Z
dc.date.available2026-07-07T04:38:33Z
dc.descriptionWe give a classification theorem for unital separable simple nuclear $C^*$-algebras with tracial topological rank zero which satisfy the Universal Coefficient Theorem. We prove that if $A$ and $B$ are two such $C^*$-algebras and $$ (K_0(A), K_0(A)_+, [1_A], K_1(A)) $$ $$ \cong (K_0(B), K_0(B)_+, [1_B], K_1(B)), $$ then $A\cong B.$
dc.identifierhttps://arxiv.org/abs/math/0011079
dc.identifierhttp://arxiv.org/abs/math/0011079
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60325
dc.subjectOperator Algebras
dc.titleClassification of simple $C^*$-algebras of tracial topological rank zero
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