Co-Involutive Hopf-Von Neumann Algebras

Michel Enock and Jean-Marie Schwartz
Additional contact information
Michel Enock: Université Pierre et Marie Curie, CNRS, Laboratoire de Mathématiques Fondamentales
Jean-Marie Schwartz: Université Pierre et Marie Curie, CNRS, Laboratoire de Mathématiques Fondamentales

Chapter Chapter 1 in Kac Algebras and Duality of Locally Compact Groups, 1992, pp 7-43 from Springer

Abstract: Abstract This chapter is devoted to the structure of co-involutive Hopf-von Neumann algebras, which has been introduced by Ernest ([44]), and mostly studied by Kirchberg ([79]), and de Cannière and the authors ([21]). The paradigm, from which the whole theory comes, is the algebra L ∞(G) of all the (classes of) essentially bounded measurable (with respect to a left Haar measure) complex valued functions on a locally compact group G,equipped with a coproduct and a co-involution, which are nothing but the duals of the usual product and involution of the involutive Banach algebra L 1 (G) of all (classes of) integrable (with respect to a left Haar measure) complex valued functions on G (let us recall that L l (G) is the predual of L ∞(G)).

Keywords: Hilbert Space; Compact Group; Banach Algebra; Kronecker Product; Closed Convex Cone (search for similar items in EconPapers)
Date: 1992
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-02813-1_2

Ordering information: This item can be ordered from
http://www.springer.com/9783662028131

DOI: 10.1007/978-3-662-02813-1_2

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().