Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On the equivalence of twisted group algebras and Banach $ \sp{\ast}$-algebraic bundles


Author: Robert C. Busby
Journal: Proc. Amer. Math. Soc. 37 (1973), 142-148
MSC: Primary 46L99; Secondary 43A20, 46K99
MathSciNet review: 0315469
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The relationship between twisted group algebras and Banach $ ^\ast$-algebraic bundles is investigated. Informally stated, the results are that bundles with Borel cross sections correspond to twisted group algebras, and ``locally continuous'' twisted group algebras correspond to bundles. In the separable case, these results combine to give a complete correspondence between the bundles and the ``locally continuous'' algebras.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46L99, 43A20, 46K99

Retrieve articles in all journals with MSC: 46L99, 43A20, 46K99


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1973-0315469-4
Keywords: Twisted group algebra, Banach $ ^\ast$-algebraic bundle, group extension
Article copyright: © Copyright 1973 American Mathematical Society