Equivariant spectral triples

Andrzej Sitarz. "Equivariant spectral triples." Banach Center Publications 61.1 (2003): 231-263. <http://eudml.org/doc/282417>.

@article{AndrzejSitarz2003,
abstract = {We present the review of noncommutative symmetries applied to Connes' formulation of spectral triples. We introduce the notion of equivariant spectral triples with Hopf algebras as isometries of noncommutative manifolds, relate it to other elements of theory (equivariant K-theory, homology, equivariant differential algebras) and provide several examples of spectral triples with their isometries: isospectral (twisted) deformations (including noncommutative torus) and finite spectral triples.},
author = {Andrzej Sitarz},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {231-263},
title = {Equivariant spectral triples},
url = {http://eudml.org/doc/282417},
volume = {61},
year = {2003},
}

TY - JOUR
AU - Andrzej Sitarz
TI - Equivariant spectral triples
JO - Banach Center Publications
PY - 2003
VL - 61
IS - 1
SP - 231
EP - 263
AB - We present the review of noncommutative symmetries applied to Connes' formulation of spectral triples. We introduce the notion of equivariant spectral triples with Hopf algebras as isometries of noncommutative manifolds, relate it to other elements of theory (equivariant K-theory, homology, equivariant differential algebras) and provide several examples of spectral triples with their isometries: isospectral (twisted) deformations (including noncommutative torus) and finite spectral triples.
LA - eng
UR - http://eudml.org/doc/282417
ER -