Quantum Isometry Group for Spectral Triples with Real Structure
نویسندگان
چکیده
منابع مشابه
Quantum Isometry Group for Spectral Triples with Real Structure
Given a spectral triple of compact type with a real structure in the sense of [Da̧browski L., J. Geom. Phys. 56 (2006), 86–107] (which is a modification of Connes’ original definition to accommodate examples coming from quantum group theory) and references therein, we prove that there is always a universal object in the category of compact quantum group acting by orientation preserving isometrie...
متن کاملEquivariant spectral triples on the quantum SU(2) group
We characterize all equivariant odd spectral triples on the quantum SU(2) group having a nontrivial Chern character. It is shown that the dimension of an equivariant spectral triple is at least three, and there does exist a 3-summable equivariant spectral triple. We also show that given any odd spectral triple, there is an odd equivariant spectral triple that induces the same element in K. AMS ...
متن کاملSpectral triples of weighted groups
We study spectral triples on (weighted) groups and consider functors between the categories of weighted groups and spectral triples. We study the properties of weights and the corresponding functor for spectral triples coming from discrete weighted groups.
متن کاملThe graded product of real spectral triples
Forming the product of two geometric spaces is one of the most basic operations in geometry, but in the spectral-triple formulation of non-commutative geometry, the standard prescription for taking the product of two real spectral triples is problematic: among other drawbacks, it is non-commutative, non-associative, does not transform properly under unitaries, and often fails to define a proper...
متن کاملQuantum Groups and Twisted Spectral Triples
Through the example of the quantum symplectic 4-sphere, we discuss how the notion of twisted spectral triple fits into the framework of quantum homogeneous spaces.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Symmetry, Integrability and Geometry: Methods and Applications
سال: 2010
ISSN: 1815-0659
DOI: 10.3842/sigma.2010.007