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 Laplacian on a quantum Heisenberg manifold Commun. Korean Math. Soc. 2013 Vol. 28, No. 3, 501-509 https://doi.org/10.4134/CKMS.2013.28.3.501Printed July 1, 2013 Hyun Ho Lee University of Ulsan Abstract : In this paper we give a definition of the Hodge type Laplacian $\Delta$ on a non-commutative manifold which is the smooth dense subalgebra of a $C\sp*$-algebra. We prove that the Laplacian on a quantum Heisenberg manifold is an elliptic operator in the sense that $(\Delta+1)^{-1}$ is compact. Keywords : quantum Heisenberg manifolds, Laplacian, elliptic operator Downloads: Full-text PDF

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