# The dual spaces of *-algebras

@article{Fell1960TheDS, title={The dual spaces of *-algebras}, author={J. M. G. Fell}, journal={Transactions of the American Mathematical Society}, year={1960}, volume={94}, pages={365-403} }

Introduction. The idea of the structure space (or dual space) A of an associative algebra A was introduced by Jacobson in [8]. The space A consists of all kernels of irreducible representations of A, with the hull-kernel topology: An ideal I in A is in the closure of a subset B of A if I contains the intersection of the ideals in B. For unrestricted infinite-dimensional A, the dual space need not be Hausdorff or even T1; and in many situations it is not very useful. However, Gelfand and others…

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