Bounded and unbounded Fredholm modules for quantum projective spaces
arXiv:0903.3553 · doi:10.1017/is010001012jkt102
Abstract
We construct explicit generators of the K-theory and K-homology of the coordinate algebra of `functions' on quantum projective spaces. We also sketch a construction of unbounded Fredholm modules, that is to say Dirac-like operators and spectral triples of any positive real dimension.
8 pages, no figures, dcpic, pdflatex. v2: 8 pages, minor changes, final version to appears in JKT
Cited by in corpus (9)
- Anti-selfdual Connections on the Quantum Projective Plane: Monopoles
- Noncommutative complex geometry of the quantum projective space
- On Pythagoras' theorem for products of spectral triples
- Quantum teardrops
- Quantum weighted projective and lens spaces
- Notes on quantum weighted projective spaces and multidimensional teardrops
- A Hodge - De Rham Dirac operator on the quantum
- Veronese and Segre morphisms between non-commutative projective spaces
- On the K-theory of the AF core of a graph C*-algebra