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Index theory and
Toeplitz algebras on one-parameter subgroups of Lie
groups
Efton Park |
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Vol. 158 (1993), No. 1, 189–199
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Abstract |
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We form the Toeplitz C∗-algebra 𝒯 (G;X) associated to the one-parameter subgroup exp(tX) defined by a left-invariant vector field X on a compact Lie group G. We compute the K-theory of 𝒯 (G;X) and its commutator ideal 𝒞(G;X). We also define an abstract analytical index for 𝒯 (G;X) and show that this analytical index can be computed in terms of topological data. |
Mathematical Subject Classification 2000
Primary: 46L80
Secondary: 19K56, 22D25, 47B35, 58G10, 58G12
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Milestones
Received: 11 October 1990
Revised: 13 April 1992
Published: 1 March 1993
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Authors |
| Efton Park | |
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