Twisted spectral triples and covariant differential calculi

• Autorzy: Ulrich Krähmer , Elmar Wagner
• Języki publikacji: EN

Abstrakty

EN

Connes and Moscovici recently studied "twisted" spectral triples (A,H,D) in which the commutators [D,a] are replaced by D∘a - σ(a)∘D, where σ is a second representation of A on H. The aim of this note is to point out that this yields representations of arbitrary covariant differential calculi over Hopf algebras in the sense of Woronowicz. For compact quantum groups, H can be completed to a Hilbert space and the calculus is given by bounded operators. At the end, we discuss an explicit example of Heckenberger's 3-dimensional covariant differential calculi on quantum SU(2).

Kategorie tematyczne

• 81R60: Noncommutative geometry
• 58B32: Geometry of quantum groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 93
• Numer: 1
• Strony: 177-188

Daty

wydano

2011

Twórcy

autor

Ulrich Krähmer

• School of Mathematics and Statistics, University of Glasgow, 15 University Gardens, Glasgow G12 8QW, Scotland

autor

Elmar Wagner

• Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Cd. Universitaria, 58040 Morelia, Michoacán, México

Identyfikatory

DOI

10.4064/bc93-0-14