The corona algebra of stablized Jiang-Su algebra

TL;DR

This paper proves that the corona algebra of the stabilized Jiang-Su algebra has real rank zero, extending the understanding of its structural properties in operator algebra theory.

Contribution

It establishes that the corona algebra of the stabilized Jiang-Su algebra has real rank zero, generalizing previous results in the field.

Findings

Corona algebra of stabilized Jiang-Su algebra has real rank zero

Generalization to broader class of algebras

Advances understanding of structural properties in operator algebras

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 $M({\cal Z}\otimes {\cal K})/{\cal Z}\otimes {\cal K}$ has real rank zero. We actually prove a more general result.