# nLab star-representation

Contents

### Context

#### Representation theory

representation theory

geometric representation theory

# Contents

## Idea

For $(\mathcal{A}, \ast)$ a star-algebra and $\mathcal{H}$ a Hilbert space, a star-representation of $(\mathcal{A},\ast)$ on $\mathcal{H}$ is a homomorphism of star algebras from $\mathcal{A}$ to linear operators on (a dense subspace of) $\mathcal{H}$.

## References

• Igor Khavkine, Valter Moretti, def. 7 in Algebraic QFT in Curved Spacetime and quasifree Hadamard states: an introduction, Chapter 5 in Romeo Brunetti et al. (eds.) Advances in Algebraic Quantum Field Theory, , Springer, 2015

Last revised on December 3, 2017 at 16:29:23. See the history of this page for a list of all contributions to it.