Classification of tight C*-algebras over the one-point compactification of N

James Gabe; Efren Ruiz

doi:10.7900/jot.2015nov30.2086

Classification of tight C*-algebras over the one-point compactification of N

James Gabe, Efren Ruiz

Institut for Matematik og Datalogi

University of Hawaii System

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

Abstract

We prove a strong classification result for a certain class of C*- algebras with primitive ideal space Ñ, where Ñ is the one-point compactification of N. This class contains the class of graph C*-algebras with primitive ideal space Ñ. Along the way, we prove a universal coefficient theorem with ideal-related K-theory for C*-algebras over Ñ whose ∞ fiber has torsion-free K-theory. © by THETA, 2016.

Originalsprog	Engelsk
Tidsskrift	Journal of Operator Theory
Vol/bind	76
Udgave nummer	1
Sider (fra-til)	175-204
ISSN	0379-4024
DOI	https://doi.org/10.7900/jot.2015nov30.2086
Status	Udgivet - 2016

Dokumenter og links

10.7900/jot.2015nov30.2086

SDU link

Tjek adgangen til materialet i Syddansk Universitetsbiblioteks søgemaskine

Citationsformater

@article{84ce315c570847fabcb252c71ea2b09d,

title = "Classification of tight C*-algebras over the one-point compactification of N",

abstract = "We prove a strong classification result for a certain class of C*- algebras with primitive ideal space {\~N}, where {\~N} is the one-point compactification of N. This class contains the class of graph C*-algebras with primitive ideal space {\~N}. Along the way, we prove a universal coefficient theorem with ideal-related K-theory for C*-algebras over {\~N} whose ∞ fiber has torsion-free K-theory.",

keywords = "C*-algebras over X, Classification, Continuous fields of C*-algebras, Graph C*-algebras",

author = "James Gabe and Efren Ruiz",

year = "2016",

doi = "10.7900/jot.2015nov30.2086",

language = "English",

volume = "76",

pages = "175--204",

journal = "Journal of Operator Theory",

issn = "0379-4024",

publisher = "Theta Foundation",

number = "1",

}

TY - JOUR

T1 - Classification of tight C*-algebras over the one-point compactification of N

AU - Gabe, James

AU - Ruiz, Efren

PY - 2016

Y1 - 2016

N2 - We prove a strong classification result for a certain class of C*- algebras with primitive ideal space Ñ, where Ñ is the one-point compactification of N. This class contains the class of graph C*-algebras with primitive ideal space Ñ. Along the way, we prove a universal coefficient theorem with ideal-related K-theory for C*-algebras over Ñ whose ∞ fiber has torsion-free K-theory.

AB - We prove a strong classification result for a certain class of C*- algebras with primitive ideal space Ñ, where Ñ is the one-point compactification of N. This class contains the class of graph C*-algebras with primitive ideal space Ñ. Along the way, we prove a universal coefficient theorem with ideal-related K-theory for C*-algebras over Ñ whose ∞ fiber has torsion-free K-theory.

KW - C-algebras over X

KW - Classification

KW - Continuous fields of C-algebras

KW - Graph C-algebras

U2 - 10.7900/jot.2015nov30.2086

DO - 10.7900/jot.2015nov30.2086

M3 - Journal article

SN - 0379-4024

VL - 76

SP - 175

EP - 204

JO - Journal of Operator Theory

JF - Journal of Operator Theory

IS - 1

ER -

Classification of tight C*-algebras over the one-point compactification of N

Abstract

Dokumenter og links

SDU link

Fingeraftryk

Citationsformater