The Jiang-Su algebra is strongly self-absorbing revisited

TL;DR

This paper provides a shorter proof that the Jiang-Su algebra is strongly self-absorbing by introducing unitarily suspended endomorphisms and establishing key uniqueness and existence results for maps between dimension drop and UHF-algebras.

Contribution

It offers a more concise proof of the strong self-absorption of the Jiang-Su algebra using novel endomorphisms and new map classification results.

Findings

Shorter proof of Jiang-Su algebra's strong self-absorption

Introduction of unitarily suspended endomorphisms

Proved uniqueness and existence of maps between dimension drop and UHF-algebras

Abstract

We give a shorter proof of the fact that the Jiang-Su algebra is strongly self-absorbing. This is achieved by introducing and studying so-called unitarily suspended endomorphisms of generalized dimension drop algebras. Along the way we prove uniqueness and existence results for maps between dimension drop algebras and UHF-algebras.