Isometries of noncommutative metric spaces
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- by Efton Park PDF
- Proc. Amer. Math. Soc. 123 (1995), 97-105 Request permission
Abstract:
A. Connes has shown that a unital ${C^ \ast }$-algebra equipped with an unbounded Fredholm module can be viewed as a "noncommutative" metric space. In this paper, the author defines a notion of an isometry of a noncommutative metric space, and computes several examples.References
- A. Connes, Compact metric spaces, Fredholm modules, and hyperfiniteness, Ergodic Theory Dynam. Systems 9 (1989), no. 2, 207–220. MR 1007407, DOI 10.1017/S0143385700004934
- Alain Connes and John Lott, The metric aspect of noncommutative geometry, New symmetry principles in quantum field theory (Cargèse, 1991) NATO Adv. Sci. Inst. Ser. B: Phys., vol. 295, Plenum, New York, 1992, pp. 53–93. MR 1204452
- Sigurdur Helgason, Differential geometry, Lie groups, and symmetric spaces, Pure and Applied Mathematics, vol. 80, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. MR 514561
Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 97-105
- MSC: Primary 46L85
- DOI: https://doi.org/10.1090/S0002-9939-1995-1213868-4
- MathSciNet review: 1213868