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LAPLACIAN ON A QUANTUM HEISENBERG MANIFOLD

  • Lee, Hyun Ho (Department of Mathematics University of Ulsan)
  • Received : 2012.05.25
  • Published : 2013.07.31

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 $C^*$-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

References

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