When is a quantum space not a group?

Piotr Mikołaj Sołtan

Banach Center Publications (2010)

  • Volume: 91, Issue: 1, page 353-364
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Piotr Mikołaj Sołtan. "When is a quantum space not a group?." Banach Center Publications 91.1 (2010): 353-364. <http://eudml.org/doc/282547>.

@article{PiotrMikołajSołtan2010,
abstract = {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.},
author = {Piotr Mikołaj Sołtan},
journal = {Banach Center Publications},
keywords = {quantum groups; quantum spaces},
language = {eng},
number = {1},
pages = {353-364},
title = {When is a quantum space not a group?},
url = {http://eudml.org/doc/282547},
volume = {91},
year = {2010},
}

TY - JOUR
AU - Piotr Mikołaj Sołtan
TI - When is a quantum space not a group?
JO - Banach Center Publications
PY - 2010
VL - 91
IS - 1
SP - 353
EP - 364
AB - 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.
LA - eng
KW - quantum groups; quantum spaces
UR - http://eudml.org/doc/282547
ER -

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