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Twisted spectral triples and covariant differential calculi

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Krähmer U., Wagner E.

Banach Center Publications

2011

tom 93

nr 1

177-188

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).

Ograniczanie wyników

1 Banach Center Publications

1 Krähmer U.

1 Wagner E.

1 2011

Wyniki wyszukiwania

Twisted spectral triples and covariant differential calculi