منابع مشابه
Dirac Operators on Quantum Projective Spaces
We construct a family of self-adjoint operators DN , N ∈ Z, which have compact resolvent and bounded commutators with the coordinate algebra of the quantum projective space CPq, for any ` ≥ 2 and 0 < q < 1. They provide 0-dimensional equivariant even spectral triples. If ` is odd and N = 1 2 (` + 1), the spectral triple is real with KO-dimension 2` mod 8.
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متن کاملThe Index of Dirac Operators on Incomplete Edge Spaces
We derive a formula for the index of a Dirac operator on a compact, evendimensional incomplete edge space satisfying a “geometric Witt condition”. We accomplish this by cutting off to a smooth manifold with boundary, applying the Atiyah–Patodi–Singer index theorem, and taking a limit. We deduce corollaries related to the existence of positive scalar curvature metrics on incomplete edge spaces.
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Let $G$ be a locally compact group, $H$ be a compact subgroup of $G$ and $varpi$ be a representation of the homogeneous space $G/H$ on a Hilbert space $mathcal H$. For $psi in L^p(G/H), 1leq p leqinfty$, and an admissible wavelet $zeta$ for $varpi$, we define the localization operator $L_{psi,zeta} $ on $mathcal H$ and we show that it is a bounded operator. Moreover, we prove that the localizat...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2003
ISSN: 0022-2488
DOI: 10.1063/1.1607514