Equivariant spectral triples

• Autorzy: Andrzej Sitarz
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 58B34: Noncommutative geometry (\`a la Connes)
• 46L87: Noncommutative differential geometry

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2003
• Tom: 61
• Numer: 1
• Strony: 231-263

Daty

wydano

2003

Twórcy

autor

Andrzej Sitarz

• Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
• Laboratoire de Physique Théorique, Bâtiment 210, Université Paris XI, 91405 Orsay Cedex, France

Identyfikatory

DOI

10.4064/bc61-0-16