Subalgebras of finite codimension in semiprojective C*-algebras
classification
🧮 math.OA
keywords
semiprojectivealgebraalgebrascodimensionfinitesubalgebrasfinite-dimensionalparticular
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We show that semiprojectivity of a C*-algebra is preserved when passing to C*-subalgebras of finite codimension. In particular, any pullback of two semiprojective C*-algebras over a finite-dimensional C*-algebra is again semiprojective.
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