Quantum lens spaces and principal actions on graph C*-algebras

Wojciech Szymański. "Quantum lens spaces and principal actions on graph C*-algebras." Banach Center Publications 61.1 (2003): 299-304. <http://eudml.org/doc/282546>.

@article{WojciechSzymański2003,
abstract = {We study certain principal actions on noncommutative C*-algebras. Our main examples are the $ℤ_p$- and -actions on the odd-dimensional quantum spheres, yielding as fixed-point algebras quantum lens spaces and quantum complex projective spaces, respectively. The key tool in our analysis is the relation of the ambient C*-algebras with the Cuntz-Krieger algebras of directed graphs. A general result about the principality of the gauge action on graph algebras is given.},
author = {Wojciech Szymański},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {299-304},
title = {Quantum lens spaces and principal actions on graph C*-algebras},
url = {http://eudml.org/doc/282546},
volume = {61},
year = {2003},
}

TY - JOUR
AU - Wojciech Szymański
TI - Quantum lens spaces and principal actions on graph C*-algebras
JO - Banach Center Publications
PY - 2003
VL - 61
IS - 1
SP - 299
EP - 304
AB - We study certain principal actions on noncommutative C*-algebras. Our main examples are the $ℤ_p$- and -actions on the odd-dimensional quantum spheres, yielding as fixed-point algebras quantum lens spaces and quantum complex projective spaces, respectively. The key tool in our analysis is the relation of the ambient C*-algebras with the Cuntz-Krieger algebras of directed graphs. A general result about the principality of the gauge action on graph algebras is given.
LA - eng
UR - http://eudml.org/doc/282546
ER -