The Jiang-Su algebra does not always embed
Marius Dadarlat, Ilan Hirshberg, Andrew S. Toms, Wilhelm Winter
TL;DR
This paper demonstrates that the Jiang-Su algebra does not always embed into certain unital simple nuclear non-type-I C*-algebras, answering a previously open question in the field.
Contribution
It provides a counterexample showing the Jiang-Su algebra does not embed into all unital simple nuclear non-type-I C*-algebras, clarifying limitations of embedding properties.
Findings
Constructs a specific unital simple nuclear non-type-I C*-algebra without Jiang-Su embedding.
Answers an open question posed by M. R{ }ordam.
Highlights limitations of Jiang-Su algebra embeddings in certain C*-algebras.
Abstract
We exhibit a unital simple nuclear non-type-I C*-algebra into which the Jiang-Su algebra does not embed unitally. This answers a question of M. R{\o}rdam.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Algebraic structures and combinatorial models