%0 Journal Article
%J Comm. Math. Phys. 279 (2008) 77-116
%D 2008
%T The Isospectral Dirac Operator on the 4-dimensional Orthogonal Quantum Sphere
%A Francesco D\'Andrea
%A Ludwik Dabrowski
%A Giovanni Landi
%X Equivariance under the action of Uq(so(5)) is used to compute the left regular and (chiral) spinorial representations of the algebra of the quantum Euclidean 4-sphere S^4_q. These representations are the constituents of a spectral triple on this sphere with a Dirac operator which is isospectral to the canonical one of the spin structure of the round undeformed four-sphere and which gives metric dimension four for the noncommutative geometry. Non-triviality of the geometry is proved by pairing the associated Fredholm module with an `instanton\\\' projection. A real structure which satisfies all required properties modulo a suitable ideal of `infinitesimals\\\' is also introduced.
%B Comm. Math. Phys. 279 (2008) 77-116
%G en_US
%U http://hdl.handle.net/1963/2567
%1 1553
%2 Mathematics
%3 Mathematical Physics
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-01-18T11:00:40Z\\nNo. of bitstreams: 1\\n0611100v1.pdf: 351975 bytes, checksum: 8dd0f817683bd7782e5110ca6b585b91 (MD5)
%R 10.1007/s00220-008-0420-x