Regular representations of completely bounded maps

Bhat, B. V. Rajarama ; Mallick, Nirupama ; Sumesh, K. (2017) Regular representations of completely bounded maps Pacific Journal of Mathematics, 289 (2). pp. 257-286. ISSN 0030-8730

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Official URL: http://doi.org/10.2140/pjm.2017.289.257

Related URL: http://dx.doi.org/10.2140/pjm.2017.289.257

Abstract

We study properties and the structure of some special classes of homomorphisms on C∗-algebras. These maps are ∗-preserving up to conjugation by a symmetry. Making use of these homomorphisms, we prove a new structure theorem for completely bounded maps from a unital C∗-algebra into the algebra of all bounded linear maps on a Hilbert space. Finally we provide alternative proofs for some of the known results about completely bounded maps and improve on them.

Item Type:Article
Source:Copyright of this article belongs to Pacific Journal of Mathematics.
ID Code:133716
Deposited On:30 Dec 2022 04:38
Last Modified:09 Jan 2023 08:12

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