Compact quantum group C*-algebras as Hopf algebras with approximate unit
Do Ngoc Diep, Phung Ho Hai, Aderemi O. Kuku
Abstract
In this paper we construct and study the representation theory of a Hopf C*-algebra with approximate unit, which constitutes quantum analogue of a compact group C*-algebra. The construction is done by first introducing a convolution-product on an arbitrary Hopf algebra H with integral, and then constructing the L2 and C*-envelopes of H (with the new convolution-product) when H is a compact Hopf *-algebra.
Create a lesson
Related papers
Galois-modular obstructions to the categorification of near-group fusion rings
Víctor Blasco
The Askey-Wilson Function is the Laplace Transform of a Positive Measure
Aaron Agulnick
Associated Varieties of Finite-Group Orbifolds
Andrew Riesen
Haagerup symmetries of the E8 theory and conformal nets at central charge eight
Cédric Arhancet
Centralizers of maps as automorphism groups of Yang--Baxter solutions
Gigel Militaru
Quaternionic and Octonionic Frameworks for Quantum Computation: Mathematical Structures, Models, and Fundamental Limitations
Johan Heriberto Rúa Muñoz, Jorge Eduardo Mahecha Gómez, Santiago Pineda Montoya