Infinite-dimensional Compact Quantum Semigroup
Quantum Algebra
2012-12-04 v1 Functional Analysis
Operator Algebras
Abstract
In this paper we construct a compact quantum semigroup structure on the Toeplitz algebra . The existence of a subalgebra, isomorphic to the algebra of regular Borel's measures on a circle with convolution product, in the dual algebra is shown. The existence of Haar functionals in the dual algebra and in the above-mentioned subalgebra is proved. Also we show the connection between and the structure of weak Hopf algebra.
Cite
@article{arxiv.1104.4820,
title = {Infinite-dimensional Compact Quantum Semigroup},
author = {Marat A. Aukhadiev and Suren A. Grigoryan and Ekaterina V. Lipacheva},
journal= {arXiv preprint arXiv:1104.4820},
year = {2012}
}
Comments
17 pages