Spectral action on SU_q(2)
B. Iochum, C. Levy, A. Sitarz
TL;DR
This paper explicitly computes the spectral action on the quantum group SU_q(2), analyzing its differential calculus and comparing it to the classical sphere S^3, revealing insights into noncommutative geometry.
Contribution
It provides an explicit calculation of the spectral action on SU_q(2) and studies its differential calculus, advancing understanding of noncommutative geometric structures.
Findings
Spectral action computed explicitly for SU_q(2)
Differential calculus properties analyzed and compared to classical case
Insights into noncommutative geometry derived from the comparison
Abstract
The spectral action on the equivariant real spectral triple over \A(SU_q(2)) is computed explicitly. Properties of the differential calculus arising from the Dirac operator are studied and the results are compared to the commutative case of the sphere S^3.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology