Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Induced representations of $ C\sp{\ast} $-algebras and complete positivity

Author: James G. Bennett
Journal: Trans. Amer. Math. Soc. 243 (1978), 1-36
MSC: Primary 46L05; Secondary 15A63, 43A35
MathSciNet review: 502890
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 46L05, 15A63, 43A35

Retrieve articles in all journals with MSC: 46L05, 15A63, 43A35

Additional Information

PII: S 0002-9947(1978)0502890-3
Article copyright: © Copyright 1978 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia