TL;DR
This paper introduces weakly projective C*-algebras as a noncommutative analog of approximative absolute retracts, exploring their properties, examples, and how they relate to other algebraic classes.
Contribution
It defines the concept of weakly projective C*-algebras and investigates their properties, examples, and closure properties, filling a gap between residual finite dimensionality and projectivity.
Findings
Weakly projective C*-algebras are introduced as a new class.
Examples of weakly projective C*-algebras are provided.
Closure properties of this class are analyzed.
Abstract
The noncommutative analog of an approximative absolute retract (AAR) is introduced, a weakly projective C*-algebra. This property sits between being residually finite dimensional and projectivity. Examples and closure properties are considered.
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