Regular representations of completely bounded maps

Authors

B. V. Rajarama Bhat, Indian Statistical Institute Bangalore
Nirupama Mallick, Indian Statistical Institute Bangalore
K. Sumesh, Indian Institute of Technology Madras

Article Type

Research Article

Publication Title

Pacific Journal of Mathematics

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.

First Page

257

Last Page

286

DOI

10.2140/pjm.2017.289.257

Publication Date

1-1-2017

Recommended Citation

Rajarama Bhat, B. V.; Mallick, Nirupama; and Sumesh, K., "Regular representations of completely bounded maps" (2017). Journal Articles. 2766.
https://digitalcommons.isical.ac.in/journal-articles/2766