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Traces on Noncommutative Homogeneous Spaces

✍ Scribed by Magnus B. Landstad

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
123 KB
Volume
191
Category
Article
ISSN
0022-1236

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✦ Synopsis

We study properties of C*-algebraic deformations of homogeneous spaces G/C which are equivariant in the sense that they preserve the natural action of G by left translation. The center is shown to be isomorphic to C(G/G 0 r ) for a certain subgroup G 0 r of G, and there is a 1-1 correspondence between normalised traces and probability measures on G/G 0 r . This makes it possible to represent the deformed algebra as operators over L 2 (G/C). Applications to K-theory are also mentioned.

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