@article {2005,
title = {The Dirac operator on SU_q(2)},
journal = {Commun. Math. Phys. 259 (2005) 729-759},
number = {arXiv:math/0411609;},
year = {2005},
note = {v2: minor changes},
publisher = {Springer},
abstract = {We construct a 3^+ summable spectral triple (A(SU_q(2)),H,D) over the quantum group SU_q(2) which is equivariant with respect to a left and a right action of U_q(su(2)). The geometry is isospectral to the classical case since the
spectrum of the operator D is the same as that of the usual Dirac operator on
the 3-dimensional round sphere. The presence of an equivariant real structure J
demands a modification in the axiomatic framework of spectral geometry, whereby the commutant and first-order properties need be satisfied only modulo infinitesimals of arbitrary high order.},
doi = {10.1007/s00220-005-1383-9},
url = {http://hdl.handle.net/1963/4425},
author = {Ludwik Dabrowski and Giovanni Landi and Andrzej Sitarz and Walter van Suijlekom and Joseph C. Varilly}
}
@article {2005,
title = {The local index formula for SUq(2)},
journal = {K-Theory 35 (2005) 375-394},
number = {SISSA;01/2005/FM},
year = {2005},
abstract = {We discuss the local index formula of Connes-Moscovici for the isospectral noncommutative geometry that we have recently constructed on quantum SU(2). We work out the cosphere bundle and the dimension spectrum as well as the local cyclic cocycles yielding the index formula.},
doi = {10.1007/s10977-005-3116-4},
url = {http://hdl.handle.net/1963/1713},
author = {Walter van Suijlekom and Ludwik Dabrowski and Giovanni Landi and Andrzej Sitarz and Joseph C. Varilly}
}