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

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 1 2009

Keywords

Graph algebra
Semiprojectivity
Simple purely infinite c-algebra

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Access to Document

10.1090/S0002-9947-09-04928-9

Fingerprint Dive into the research topics of 'Semiprojectivity for certain purely infinite C<sup>*</sup>-algebras'. Together they form a unique fingerprint.

Cite this

Spielberg, J. (2009). Semiprojectivity for certain purely infinite C^*-algebras. Transactions of the American Mathematical Society, 361(6), 2805-2830. https://doi.org/10.1090/S0002-9947-09-04928-9

@article{31c9856d4710411aa81585982456d507,

title = "Semiprojectivity for certain purely infinite C*-algebras",

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.",

keywords = "Graph algebra, Semiprojectivity, Simple purely infinite c-algebra",

author = "John Spielberg",

year = "2009",

month = jun,

day = "1",

doi = "10.1090/S0002-9947-09-04928-9",

language = "English (US)",

volume = "361",

pages = "2805--2830",

journal = "Transactions of the American Mathematical Society",

issn = "0002-9947",

publisher = "American Mathematical Society",

number = "6",

}

TY - JOUR

T1 - Semiprojectivity for certain purely infinite C*-algebras

AU - Spielberg, John

PY - 2009/6/1

Y1 - 2009/6/1

N2 - 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.

AB - 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.

KW - Graph algebra

KW - Semiprojectivity

KW - Simple purely infinite c-algebra

UR - http://www.scopus.com/inward/record.url?scp=69849109834&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=69849109834&partnerID=8YFLogxK

U2 - 10.1090/S0002-9947-09-04928-9

DO - 10.1090/S0002-9947-09-04928-9

M3 - Article

AN - SCOPUS:69849109834

VL - 361

SP - 2805

EP - 2830

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 6

ER -