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

Authors :
Eilers, Søren
Katsura, Takeshi
Source :
Advances in Mathematics. Sep2017, Vol. 317, p108-156. 49p.
Publication Year :
2017

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*C*-algebras
*GRAPHIC methods
*PROJECTIVE geometry
*BANACH algebras
*MODERN geometry

Details

Language :
English
ISSN :
00018708
Volume :
317
Database :
Academic Search Index
Journal :
Advances in Mathematics
Publication Type :
Academic Journal
Accession number :
124472724
Full Text :
https://doi.org/10.1016/j.aim.2017.06.034
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