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Title of Journal: Commun Math Phys

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Abbravation: Communications in Mathematical Physics

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Springer-Verlag

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10.1007/bf01000168

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1432-0916

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Equivariant Comparison of Quantum Homogeneous Spac

Authors: Makoto Yamashita
Publish Date: 2012/11/18
Volume: 317, Issue: 3, Pages: 593-614
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Abstract

We consider the quantum homogeneous spaces of the qdeformation of simply connected simple compact Lie groups and their Poisson–Lie quantum subgroups We prove the deformation invariance in the equivariant KKtheory with respect to the translation action by maximal tori This extends a result of Neshveyev and Tuset to the equivariant setting As applications we prove the ring isomorphism of the Khomology of G q with respect to the coproduct of CG q and an analogue of the Borsuk–Ulam theorem for quantum spheres

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  2. Hausdorff Dimension of Julia Sets of Feigenbaum Polynomials with High Criticality
  3. Stability and Duality in $${\mathcal{N}\,{=}\,2}$$ Supergravity
  4. Exponential Mixing for the 3 D Stochastic Navier–Stokes Equations
  5. Binding of Polarons and Atoms at Threshold
  6. Probabilistic Weyl Laws for Quantized Tori
  7. On Perturbations of the Schwarzschild Anti-De Sitter Spaces of Positive Mass
  8. Wall-Crossing, Free Fermions and Crystal Melting
  9. Standing Ring Blow up Solutions to the N-Dimensional Quintic Nonlinear Schrödinger Equation
  10. Laminar Boundary Layers in Convective Heat Transport
  11. There are no Magnetically Charged Particle-like Solutions of the Einstein Yang-Mills Equations for Models with an Abelian Residual Group
  12. Duality of 2D Gravity as a Local Fourier Duality
  13. Nonlinear Asymptotic Stability of the Lane-Emden Solutions for the Viscous Gaseous Star Problem with Degenerate Density Dependent Viscosities
  14. Extended Scaling Relations for Planar Lattice Models
  15. Infinite-Dimensional Schur–Weyl Duality and the Coxeter–Laplace Operator
  16. Phase Boundaries in Algebraic Conformal QFT
  17. On the Singularity of the Free Energy at a First Order Phase Transition
  18. Free Analog of Pressure and Its Legendre Transform
  19. Continuity of the Lyapunov Exponents for Quasiperiodic Cocycles
  20. On the Correlation Function of the Characteristic Polynomials of the Hermitian Wigner Ensemble
  21. Stationary Random Metrics on Hierarchical Graphs Via $${(\min,+)}$$-type Recursive Distributional Equations
  22. Thermalization and Canonical Typicality in Translation-Invariant Quantum Lattice Systems
  23. Higgs Bundles and ( A , B , A )-Branes
  24. Inviscid Incompressible Limits of the Full Navier-Stokes-Fourier System
  25. Global Well-Posedness Issues for the Inviscid Boussinesq System with Yudovich’s Type Data
  26. Dispersive Estimates for Schrödinger Operators in Dimension Two
  27. A Monoidal Category for Perturbed Defects in Conformal Field Theory
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  29. Holomorphic Factorization for a Quantum Tetrahedron
  30. High Energy Limits of Laplace-Type and Dirac-Type EigenFunctions and Frame Flows
  31. The Operator Product Expansion for Perturbative Quantum Field Theory in Curved Spacetime
  32. The Szegő Kernel on a Sewn Riemann Surface
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  34. An Application of Mirror Extensions
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