Equivariant Comparison of Quantum Homogeneous Spaces
作者： Makoto Yamashita
DOI: 10.1007/S00220-012-1594-9
关键词: Simply connected space 、 Isomorphism 、 Ring (mathematics) 、 Quantum group 、 Compact quantum group 、 Equivariant map 、 Quantum 、 Algebra 、 Lie group 、 Mathematics 、 Pure mathematics
摘要: We consider the quantum homogeneous spaces of q-deformation simply connected simple compact Lie groups and their Poisson–Lie subgroups. prove deformation invariance in equivariant KK-theory with respect to translation action by maximal tori. This extends a result Neshveyev Tuset setting. As applications, we ring isomorphism K-homology Gq coproduct C(Gq), an analogue Borsuk–Ulam theorem for spheres.
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