Journal of Operator Theory
Volume 54, Issue 1, Summer 2005 pp. 93-100.
Metrics on the quantum Heisenberg manifoldAuthors: Partha Sarathi Chakraborty
Author institution: Statistics and Mathematics Division, Indian Statistical Institute, 7, S.J.S.S Marg, NewDelhi 110 016, India
Summary: Recently Rieffel has introduced the notion of compact quantum metric spaces. He has produced examples using ergodic action of compact Lie groups. In the present note we construct examples of compact quantum metric spaces on the quantum Heisenberg manifolds using ergodic action of the Heisenberg group.
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