Restricting the bi-equivariant spectral triple on quantum SU(2) to the Podleś spheres

• Autorzy: Elmar Wagner
• Języki publikacji: EN

Abstrakty

EN

It is shown that the isospectral bi-equivariant spectral triple on quantum SU(2) and the isospectral equivariant spectral triples on the Podleś spheres are related by restriction. In this approach, the equatorial Podleś sphere is distinguished because only in this case the restricted spectral triple admits an equivariant grading operator together with a real structure (up to infinitesimals of arbitrary high order). The real structure is expressed by the Tomita operator on quantum SU(2) and it is shown that the failure of the real structure to satisfy the commutant property is related to the failure of the universal R-matrix operator to be unitary.

Kategorie tematyczne

• 58B34: Noncommutative geometry (\`a la Connes)
• 17B37: Quantum groups (quantized enveloping algebras) and related deformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 93
• Numer: 1
• Strony: 225-240

Daty

wydano

2011

Twórcy

autor

Elmar Wagner

• Institute of Physics and Mathematics, Michoacan University of San Nicolás of Hidalgo, Morelia, Mexico

Identyfikatory

DOI

10.4064/bc93-0-18