TY - JOUR
T1 - Instanton algebras and quantum 4-spheres
JF - Differential Geom. Appl. 16 (2002) 277-284
Y1 - 2002
A1 - Ludwik Dabrowski
A1 - Giovanni Landi
AB - We study some generalized instanton algebras which are required to describe `instantonic complex rank 2 bundles\\\'. The spaces on which the bundles are defined are not prescribed from the beginning but rather are obtained from some natural requirements on the instantons. They turn out to be quantum 4-spheres $S^4_q$, with $q\\\\in\\\\IC$, and the instantons are described by self-adjoint idempotents e. We shall also clarify some issues related to the vanishing of the first Chern-Connes class $ch_1(e)$ and on the use of the second Chern-Connes class $ch_2(e)$ as a volume form.
PB - Elsevier
UR - http://hdl.handle.net/1963/3134
U1 - 1199
U2 - Mathematics
U3 - Mathematical Physics
ER -