When is a quantum space not a group?

• Autorzy: Piotr Mikołaj Sołtan
• Języki publikacji: EN

Abstrakty

EN

We give a survey of techniques from quantum group theory which can be used to show that some quantum spaces (objects of the category dual to the category of C*-algebras) do not admit any quantum group structure. We also provide a number of examples which include some very well known quantum spaces. Our tools include several purely quantum group theoretical results as well as study of existence of characters and traces on C*-algebras describing the considered quantum spaces as well as properties such as nuclearity.

Kategorie tematyczne

• 81R60: Noncommutative geometry
• 17B37: Quantum groups (quantized enveloping algebras) and related deformations
• 46L85: Noncommutative topology
• 46L89: Other ``noncommutative'' mathematics based on C * -algebra theory
• 20G42: Quantum groups (quantized function algebras) and their representations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2010
• Tom: 91
• Numer: 1
• Strony: 353-364

Daty

wydano

2010

Twórcy

autor

Piotr Mikołaj Sołtan

• Institute of Mathematics of the Polish Academy of Sciences
• Department of Mathematical Methods in Physics, Faculty of Physics, University of Warsaw, Poland

Identyfikatory

DOI

10.4064/bc91-0-21