Year: 2011
Type: article
Abstract: In this paper we construct a compact quantum semigroup structure on the Toeplitz algebra T . The existence of a subalgebra, isomorphic to the algebra of regular Borel’smeasures on a circle with convolution product, in the dual algebra T * 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 T and the structure of weak Hopf algebra.
Authors: M. A. Aukhadiev, S. A. Grigoryan, E. V. Lipacheva
Institution: Kazan State Power Engineering University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2007223067