Contractible quantum Arens-Michael algebras

• Autorzy: Nina V. Volosova
• Języki publikacji: EN

Abstrakty

EN

We consider quantum analogues of locally convex spaces in terms of the non-coordinate approach. We introduce the notions of a quantum Arens-Michael algebra and a quantum polynormed module, and also quantum versions of projectivity and contractibility. We prove that a quantum Arens-Michael algebra is contractible if and only if it is completely isomorphic to a Cartesian product of full matrix C*-algebras. Similar results in the framework of traditional (non-quantum) approach are established, at the moment, only under some additional assumptions.

Kategorie tematyczne

• 46M20: Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.)
• 46H25: Normed modules and Banach modules, topological modules (if not placed in \SbjNo 13-XX or \SbjNo 16-XX)
• 46L07: Operator spaces and completely bounded maps
• 46H20: Structure, classification of topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2010
• Tom: 91
• Numer: 1
• Strony: 423-440

Daty

wydano

2010

Twórcy

autor

Nina V. Volosova

• Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow 119991, Russia

Identyfikatory

DOI

10.4064/bc91-0-25