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- Title
Character Contractibility and Amenability of Banach Algebras with Applications to Quantum Groups.
- Authors
Soltani Renani, S.; Yari, Z.
- Abstract
Let and be Banach algebras, let be a Banach algebra epimorphism from to , and let be a nonzero character on . As is known if is -contractible (amenable) then is -contractible (amenable). We prove that the converse is true under some conditions. As an important application, we study the -contractibility and amenability of the convolution algebra of trace class operators , where is a locally compact quantum group, and is a nonzero character on .
- Subjects
COMPACT groups; BANACH algebras; QUANTUM groups; ALGEBRA
- Publication
Siberian Mathematical Journal, 2024, Vol 65, Issue 2, p448
- ISSN
0037-4466
- Publication type
Article
- DOI
10.1134/S0037446624020174