논문KCI 등재
Laplacian on a quantum Heisenberg manifold
대한수학회 (The Korean Mathematical Society)|2013.07|대한수학회논문집 (Communications of the KMS)|제28권 제3호|pp. 501-509
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In this paper we give a definition of the Hodge type Laplacian on a non-commutative manifold which is the smooth dense subalgebraof a C∗-algebra. We prove that the Laplacian on a quantum Heisenbergmanifold is an elliptic operator in the sense that (Δ + 1)−1 is compact.
Abstract
In this paper we give a definition of the Hodge type Laplacian on a non-commutative manifold which is the smooth dense subalgebraof a C∗-algebra. We prove that the Laplacian on a quantum Heisenbergmanifold is an elliptic operator in the sense that (Δ + 1)−1 is compact.
참고문헌 (10)
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