TL;DR
This paper offers a concise proof that Z-stable C*-algebras are K1-surjective, reaffirming their K-stability using the Rordam-Winter framework of the Jiang-Su algebra Z.
Contribution
It provides a shorter proof of K1-surjectivity for Z-stable C*-algebras and confirms their K-stability through a new perspective.
Findings
Z-stable C*-algebras are K1-surjective
Z-stable C*-algebras are K-stable
New proof simplifies existing understanding
Abstract
We provide a shorter new proof of the fact that Z-stable C*-algebras are K1-surjective using the R{\o}rdam-Winter picture of the Jiang-Su algebra Z. Consequently, we recapture the K-stability of Z-stable C*-algebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Operator Algebra Research · Functional Equations Stability Results