Algebry operatorów i ich zastosowania w fizyce

I will discuss a generalisation of the notion of Eberlein compactification within the category of Universal Locally compact quantum group. I will also discuss a generalisation of the well-known classical decomposition theorem namely almost periodic functions form a complemented Banach space within the algebra of Eberlein compact functions, in the context of quantum groups. This is an attempt to study the notion of weakly periodic functions on quantum groups.(Joint work with Matthew Daws.)