Abstract:
We discuss noncommutative (anti) de Sitter spaces in two, three and four dimensions. After recalling their definitions, we analyse coordinate spectra, coherent states, invariant vacua and eigenfunctions of the Laplace-Beltrami operator. Our results pave the way for the analysis of late time correlation functions in QFTs on fuzzy dS backgrounds, of potential relevance for inflationary cosmology. The talk is based on joint works with Bojana Brkić, Maja Burić and Duško Latas.