# Questions tagged [multiplier-algebra]

The tag has no usage guidance.

12 questions
Filter by
Sorted by
Tagged with
54 views

• 405
114 views

• 405
1 vote
101 views

Let $A$ be a non-degenerate algebra with multiplier algebra $M(A)$. Let $S: A \to M(A)$ be an antimultiplicative linear map, i.e. $$S(ab) = S(b)S(a).$$ Consider the mapping $$\iota \otimes S: A \... • 405 1 vote 1 answer 105 views ### About extensions between morphisms on the multiplier algebra Let A be a non-degenerate algebra and let \Delta: A \to M(A \otimes A) be a non-degenerate morphism. We can extend the algebra morphism$$\iota \otimes \Delta: M(A \otimes A) \to M(A \otimes A \... 1 vote
Consider the following fragment from the paper "Multiplier Hopf-algebras" by Van Daele. Can someone explain how the coassociativity in definition 2.2 (ii) and the requirement $(\Delta \... 0 votes 1 answer 91 views ### Antipode on a multiplier Hopf-algebra Probably an easy question, but here goes: I'm reading the paper Multiplier Hopf algebras by Van Daele. Let$(A, \Delta)$be a multiplier Hopf algebra. Let$L(A), R(A), M(A)$be the left, right and ... 2 votes 1 answer 104 views ### Inclusion$M(A) \otimes M(B)\subseteq M(A\otimes B)$of multiplier algebras Consider the following definitions given in Timmerman's book "An invitation to quantum groups and duality": m Further in the book, it is claimed that if$A$and$B$are non-degenerate ... 2 votes 1 answer 106 views ### Definition of multiplier bialgebra Consider the following fragments from "An invitation to quantum groups and duality" by Timmerman: Question: In remark 2.1.6 (ii), it is stated that the homomorphism$\Delta\otimes \text{id}:... 