Sommaire du Fascicule no. 1

Quantum permutations, Hadamard matrices, and the search for matrix models
p. 11
A note on flat noncommutative connections
p. 43
A noncommutative 2-sphere generated by the quantum complex plane
p. 55
Index pairings for pullbacks of C*-algebras
p. 67
Equivariant Morita equivalences between Podleś spheres
p. 85
Morita equivalence of measured quantum groupoids. Application to deformation of measured quantum groupoids by 2-cocycles
p. 107
On two possible constructions of the quantum semigroup of all quantum permutations of an infinite countable set
p. 199
Finite closed coverings of compact quantum spaces
p. 215
Cocycle condition for multi-pullbacks of algebras
p. 239
Bilipschitz invariance of the first transverse characteristic map
p. 245
κ-deformation, affine group and spectral triples
p. 261
Positive linear maps of matrix algebras
p. 293
The K-theory of the triple-Toeplitz deformation of the complex projective plane
p. 303
Free dynamical quantum groups and the dynamical quantum group $SU^{dyn}_{Q}(2)$
p. 311
On ℤ/2ℤ-extensions of pointed fusion categories
p. 343
Weak multiplier Hopf algebras. Preliminaries, motivation and basic examples
p. 367
Quantum SU(2) and the Baum-Connes conjecture
p. 417
On the problem of classifying simple compact quantum groups
p. 433
On Woronowicz's approach to the Tomita-Takesaki theory
p. 455