Strongly self-absorbing C*-algebras are Z-stable
Wilhelm Winter
TL;DR
This paper proves that strongly self-absorbing C*-algebras are Z-stable, establishing the Jiang-Su algebra Z as the unique initial object in this category, which advances the classification theory of these algebras.
Contribution
It characterizes the Jiang-Su algebra Z as the uniquely determined initial object among strongly self-absorbing C*-algebras, proving their Z-stability.
Findings
Strongly self-absorbing C*-algebras are Z-stable.
Jiang-Su algebra Z is the unique initial object in its category.
The result advances classification of C*-algebras.
Abstract
We prove the title. This characterizes the Jiang-Su algebra Z as the uniquely determined initial object in the category of strongly self-absorbing C*-algebras.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Algebraic structures and combinatorial models