D-stable C*-algebras, the ideal property and real rank zero
作者： Cornel Pasnicu
DOI:
关键词: Basis (universal algebra) 、 Separable space 、 Zero (complex analysis) 、 Property (philosophy) 、 Combinatorics 、 Mathematics 、 Ideal (ring theory) 、 Rank (linear algebra) 、 Algebra over a field 、 Nuclear C*-algebra
摘要: Let D be a strongly self-absorbing, K1-injective C ¤ -algebra (e.g., the Jiang-Su algebra Z and O1). We characterize, in particular, when A has ideal property, where is separable, purely infinite -algebra. Answering natural question, we prove that there nuclear B such RR(B) = RR(BZ) sr(B) sr(BZ) 1 Prim(B) two elements (in basis consisting of compact-open sets) but does not have property. also study some (permanence) properties large classes D-stable -algebras with For ”many” separable characterize RR(C Z) 0.
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