
Locally compact quantum groups 1. Locally compact groups from an
... Let G be a locally compact group, and consider C0 (G ), C b (G ) and L∞ (G ) (left Haar measure). These are two C∗ -algebras and a von Neumann algebra: they depend only on the topological and measure space properties of G . For example, in the case when G is countable and discrete, these algebras ca ...
... Let G be a locally compact group, and consider C0 (G ), C b (G ) and L∞ (G ) (left Haar measure). These are two C∗ -algebras and a von Neumann algebra: they depend only on the topological and measure space properties of G . For example, in the case when G is countable and discrete, these algebras ca ...
Rings of functions in Lipschitz topology
... Let X atd,Ibe metric spaces with metrics d and d', respectively. A map f: X-Y is Lipschitz if there is I>0 such that d'(f(*),-f(y))=Ld(x,y) for all x,yCX. The smallest such I is the Lipschitz constant lip f of f. These notions make sense also for pseudometric spaces. If each point of X has a neighbo ...
... Let X atd,Ibe metric spaces with metrics d and d', respectively. A map f: X-Y is Lipschitz if there is I>0 such that d'(f(*),-f(y))=Ld(x,y) for all x,yCX. The smallest such I is the Lipschitz constant lip f of f. These notions make sense also for pseudometric spaces. If each point of X has a neighbo ...