Induced representations of $C^{\ast }$-algebras and complete positivity
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- by James G. Bennett PDF
- Trans. Amer. Math. Soc. 243 (1978), 1-36 Request permission
Abstract:
It is shown that $^{*}$representations may be induced from one ${C^{\ast }}$-algebra B to another ${C^{\ast }}$-algebra A via a vector space equipped with a completely positive B-valued inner product and a $^{*}$representation of A. Theorems are proved on induction in stages, on continuity of the inducing process and on completely positive linear maps of finite dimensional ${C^{\ast }}$-algebras and of group algebras.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 243 (1978), 1-36
- MSC: Primary 46L05; Secondary 15A63, 43A35
- DOI: https://doi.org/10.1090/S0002-9947-1978-0502890-3
- MathSciNet review: 502890