Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415113 | Journal of Functional Analysis | 2015 | 26 Pages |
Abstract
We show that provided nâ 3, the involutive Hopf â-algebra Au(n) coacting universally on an n-dimensional Hilbert space has enough finite-dimensional representations in the sense that every non-zero element acts non-trivially in some finite-dimensional â-representation. This implies that the discrete quantum group with group algebra Au(n) is maximal almost periodic (i.e. it embeds in its quantum Bohr compactification), answering a question posed by P. SoÅtan in [21].We also prove analogous results for the involutive Hopf â-algebra Bu(n) coacting universally on an n-dimensional Hilbert space equipped with a non-degenerate bilinear form.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Alexandru Chirvasitu,