LAPLACIAN ON A QUANTUM HEISENBERG MANIFOLD

Title & Authors
LAPLACIAN ON A QUANTUM HEISENBERG MANIFOLD
Lee, Hyun Ho;

Abstract
In this paper we give a definition of the Hodge type Laplacian $\small{{\Delta}}$ on a non-commutative manifold which is the smooth dense subalgebra of a $\small{C^*}$-algebra. We prove that the Laplacian on a quantum Heisenberg manifold is an elliptic operator in the sense that $\small{({\Delta}+1)^{-1}}$ is compact.
Keywords
quantum Heisenberg manifolds;Laplacian;elliptic operator;
Language
English
Cited by
1.
A note on nonlinear σ-models in noncommutative geometry, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2016, 19, 01, 1650006
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