The Jiang-Su algebra 
is the simple unital inductive-limit C*-algebra
constructed from prime dimension-drop algebras
by Jiang and Su (Rørdam and Winter 2010). It is separable,
infinite-dimensional,
nuclear, and has a unique tracial
state. The construction chooses connecting maps; an arbitrary
inductive limit of dimension-drop algebras
need not be 
.
A C*-algebra absorbing 
under the minimal tensor
product has Jiang-Su stability.
Jiang-Su Algebra
See also
C*-Algebra, Dimension-Drop Algebra, Jiang-Su Stability, Nuclear C*-Algebra, Tracial StateExplore with Wolfram|Alpha
References
Rørdam, M. and Winter, W. "The Jiang-Su Algebra Revisited." J. reine angew. Math. 642, 129-155, 2010. https://doi.org/10.1515/crelle.2010.039.Cite this as:
Weisstein, Eric W. "Jiang-Su Algebra." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Jiang-SuAlgebra.html