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Toeplitz algebras
associated with endomorphisms and Pimsner–Voiculescu exact
sequences
M. Khoshkam and G. Skandalis |
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Vol. 181 (1997), No. 2, 315–331
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Abstract |
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Let A be a C∗-algebra and α a ∗-endomorphism of A. The analogue of Pimsner-Voiculescu exact sequences are obtained for the pair (A,α). We prove that the corresponding Toeplitz algebra remains KK-equivalent to A.We also consider the situation where a semigroup (αt)t∈ℝ+ of ∗-endomorphisms is acting on A and formulate similar exact sequences. In this part we use the language of Connes-Higson E-theory. |
Milestones
Received: 29 March 1996
Published: 1 December 1997
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Authors |
| M. Khoshkam | |
| University of Saskatchewan Saskatoon SK S7N 5E6 Canada |
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| G. Skandalis | |
| College de France 75005 Paris France |
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