κ-deformation, affine group and spectral triples

Bruno Iochum, Thierry Masson, and Andrzej Sitarz. "κ-deformation, affine group and spectral triples." Banach Center Publications 98.1 (2012): 261-291. <http://eudml.org/doc/282379>.

@article{BrunoIochum2012,
abstract = {A regular spectral triple is proposed for a two-dimensional κ-deformation. It is based on the naturally associated affine group G, a smooth subalgebra of C*(G), and an operator 𝓓 defined by two derivations on this subalgebra. While 𝓓 has metric dimension two, the spectral dimension of the triple is one. This bypasses an obstruction described in [35] on existence of finitely-summable spectral triples for a compactified κ-deformation.},
author = {Bruno Iochum, Thierry Masson, Andrzej Sitarz},
journal = {Banach Center Publications},
keywords = {-deformation; spectral triple; noncommutative geometry},
language = {eng},
number = {1},
pages = {261-291},
title = {κ-deformation, affine group and spectral triples},
url = {http://eudml.org/doc/282379},
volume = {98},
year = {2012},
}

TY - JOUR
AU - Bruno Iochum
AU - Thierry Masson
AU - Andrzej Sitarz
TI - κ-deformation, affine group and spectral triples
JO - Banach Center Publications
PY - 2012
VL - 98
IS - 1
SP - 261
EP - 291
AB - A regular spectral triple is proposed for a two-dimensional κ-deformation. It is based on the naturally associated affine group G, a smooth subalgebra of C*(G), and an operator 𝓓 defined by two derivations on this subalgebra. While 𝓓 has metric dimension two, the spectral dimension of the triple is one. This bypasses an obstruction described in [35] on existence of finitely-summable spectral triples for a compactified κ-deformation.
LA - eng
KW - -deformation; spectral triple; noncommutative geometry
UR - http://eudml.org/doc/282379
ER -