Semiprojectivity and properly infinite projections in graph C⁎-algebras

Søren Eilers; Takeshi Katsura

doi:10.1016/j.aim.2017.06.034

Semiprojectivity and properly infinite projections in graph C^⁎-algebras

Søren Eilers, Takeshi Katsura

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We give a complete description of which unital graph C^⁎-algebras are semiprojective, and use it to disprove two conjectures by Blackadar. To do so, we perform a detailed analysis of which projections are properly infinite in such C^⁎-algebras.

Original language	English
Pages (from-to)	108-156
Number of pages	49
Journal	Advances in Mathematics
Volume	317
DOIs	https://doi.org/10.1016/j.aim.2017.06.034
Publication status	Published - 2017 Sept 7

Keywords

Graph C-algebras
Properly infinite projections
Semiprojectivity

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1016/j.aim.2017.06.034

Cite this

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title = "Semiprojectivity and properly infinite projections in graph C⁎-algebras",

abstract = "We give a complete description of which unital graph C⁎-algebras are semiprojective, and use it to disprove two conjectures by Blackadar. To do so, we perform a detailed analysis of which projections are properly infinite in such C⁎-algebras.",

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