Fredholm Modules over Graph C∗-Algebras

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Fredholm Modules over Graph C∗-Algebras. / Crisp, Tyrone.

I: Bulletin of the Australian Mathematical Society, Bind 92, Nr. 2, 02.09.2015, s. 302-315.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Crisp, T 2015, 'Fredholm Modules over Graph C∗-Algebras', Bulletin of the Australian Mathematical Society, bind 92, nr. 2, s. 302-315. https://doi.org/10.1017/S0004972715000556

APA

Crisp, T. (2015). Fredholm Modules over Graph C∗-Algebras. Bulletin of the Australian Mathematical Society, 92(2), 302-315. https://doi.org/10.1017/S0004972715000556

Vancouver

Crisp T. Fredholm Modules over Graph C∗-Algebras. Bulletin of the Australian Mathematical Society. 2015 sep. 2;92(2):302-315. https://doi.org/10.1017/S0004972715000556

Author

Crisp, Tyrone. / Fredholm Modules over Graph C∗-Algebras. I: Bulletin of the Australian Mathematical Society. 2015 ; Bind 92, Nr. 2. s. 302-315.

Bibtex

@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",

}

RIS

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

VL - 92

SP - 302

EP - 315

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

SN - 0004-9727

IS - 2

ER -

ID: 161393774