Semiprojectivity for certain purely infinite C*-algebras

John Spielberg

doi:10.1090/S0002-9947-09-04928-9

Semiprojectivity for certain purely infinite C^*-algebras

John Spielberg

CLAS-NS: Mathematics and Statistical Sciences, School of (SMSS)

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

9 Scopus citations

Abstract

It is proved that classifiable simple separable nuclear purely infinite C^*-algebras having finitely generated K-theory and torsion-free K₁ are semiprojective. This is accomplished by exhibiting these algebras as C^*-algebras of infinite directed graphs.

Original language	English (US)
Pages (from-to)	2805-2830
Number of pages	26
Journal	Transactions of the American Mathematical Society
Volume	361
Issue number	6
DOIs	https://doi.org/10.1090/S0002-9947-09-04928-9
State	Published - Jun 2009

Keywords

Graph algebra
Semiprojectivity
Simple purely infinite c-algebra

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9947-09-04928-9

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abstract = "It is proved that classifiable simple separable nuclear purely infinite C*-algebras having finitely generated K-theory and torsion-free K1 are semiprojective. This is accomplished by exhibiting these algebras as C*-algebras of infinite directed graphs.",

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