Equivariant spectral triples
Volume 61 / 2003
Banach Center Publications 61 (2003), 231-263
MSC: Primary 58B34; Secondary 46L87.
DOI: 10.4064/bc61-0-16
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.
