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Linear connections on matrix geometries. (English) Zbl 0824.58008

Summary: A general definition of a linear connection in noncommutative geometry has recently been proposed. Two examples are given of linear connections in noncommutative geometries which are based on matrix algebras. They both possess a unique metric connection.

MSC:

46L85 Noncommutative topology
46L87 Noncommutative differential geometry
53C05 Connections (general theory)
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