Fredholm Modules over Graph C∗-Algebras

Tyrone Crisp

doi:10.1017/S0004972715000556

Fredholm Modules over Graph C^∗-Algebras

Tyrone Crisp^*

^*Corresponding author af dette arbejde

Institut for Matematiske Fag

1 Citationer (Scopus)

Abstract

We present two applications of explicit formulas, due to Cuntz and Krieger, for computations in K-homology of graph C^∗-algebras. We prove that every K-homology class for such an algebra is represented by a Fredholm module having finite-rank commutators, and we exhibit generating Fredholm modules for the K-homology of quantum lens spaces.

Originalsprog	Engelsk
Tidsskrift	Bulletin of the Australian Mathematical Society
Vol/bind	92
Udgave nummer	2
Sider (fra-til)	302-315
Antal sider	14
ISSN	0004-9727
DOI	https://doi.org/10.1017/S0004972715000556
Status	Udgivet - 2 sep. 2015

Adgang til dokumentet

10.1017/S0004972715000556

Andre filer og links

Link to publication in Scopus

Citationsformater

@article{e76e04a96128403498e8ddf284d90ed6,

title = "Fredholm Modules over Graph C∗-Algebras",

abstract = "We present two applications of explicit formulas, due to Cuntz and Krieger, for computations in K-homology of graph C∗-algebras. We prove that every K-homology class for such an algebra is represented by a Fredholm module having finite-rank commutators, and we exhibit generating Fredholm modules for the K-homology of quantum lens spaces.",

keywords = "graph C<sup>∗</sup>-algebras, K-homology",

author = "Tyrone Crisp",

year = "2015",

month = sep,

day = "2",

doi = "10.1017/S0004972715000556",

language = "English",

volume = "92",

pages = "302--315",

journal = "Bulletin of the Australian Mathematical Society",

issn = "0004-9727",

publisher = "Cambridge University Press",

number = "2",

}

TY - JOUR

T1 - Fredholm Modules over Graph C∗-Algebras

AU - Crisp, Tyrone

PY - 2015/9/2

Y1 - 2015/9/2

N2 - We present two applications of explicit formulas, due to Cuntz and Krieger, for computations in K-homology of graph C∗-algebras. We prove that every K-homology class for such an algebra is represented by a Fredholm module having finite-rank commutators, and we exhibit generating Fredholm modules for the K-homology of quantum lens spaces.

AB - We present two applications of explicit formulas, due to Cuntz and Krieger, for computations in K-homology of graph C∗-algebras. We prove that every K-homology class for such an algebra is represented by a Fredholm module having finite-rank commutators, and we exhibit generating Fredholm modules for the K-homology of quantum lens spaces.

KW - graph C<sup>∗</sup>-algebras

KW - K-homology

UR - http://www.scopus.com/inward/record.url?scp=84940962662&partnerID=8YFLogxK

U2 - 10.1017/S0004972715000556

DO - 10.1017/S0004972715000556

M3 - Journal article

SN - 0004-9727

VL - 92

SP - 302

EP - 315

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 2

ER -