The corona algebra of stablized Jiang-Su algebra

2013/02/17 by Huaxin Lin, Lin, Huaxin, Ping Wong Ng +1
Mathematics · #46L05 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1302.4135

openalex publication_date 2013/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let \cal Z be the Jiang-Su algebra and \cal K the C*-algebra of compact operators on an infinite dimensional separable Hilbert space. We prove that the corona algebra M(\cal Z⊗ \cal K)/\cal Z⊗ \cal K has real rank zero. We actually prove a more general result.

Citations

• Homomorphisms into a simple Z-stable C*-Algebras
• Approximate Homotopy of Homomorphisms from C(X) into a Simple C^*-algebra
• Cuntz semigroups of C*-algebras of stable rank one and projective Hilbert modules
• Tensor Products of Classifiable C*-algebras

Related

• Z-stability, finite dimensional tracial boundaries and continuous rank functions
• Z is universal
• The Jiang-Su algebra revisited
• Linear maps preserving regularity in C∗-algebras
• Real rank of some multiplier algebras