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
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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