Deformations of infinite projections

2006/05/18 by Étienne Blanchard, Blanchard, Etienne
Mathematics · #46L35 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.math/0605515

openalex publication_date 2006/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let A=(A_x) be a (semi-)continuous field of C^*-algebras over a compact Hausdorff space X and let p=(p_x) be a projection in A such that each p_x∈ A_x is properly infinite (x∈ X). Then p is properly infinite if the field A is upper semi-continuous. However, p can be finite if the field is lower semi-continuous.

Citations

• Pullback and Pushout Constructions in C*-Algebra Theory

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