Algebras and fiber bundles

James Michael Gardner Fell

Vol. 16 (1966), No. 3, 497–503

DOI: 10.2140/pjm.1966.16.497

Abstract

Let A be an associative algebra and Â_n the family of all equivalence classes of irreducible representations of A of dimension exactly n. Topologizing Â_n as in a paper about to appear in the Transactions of the American Mathematical Society, we show that for each n, A gives rise to a fiber bundle having Â_n as its base space and the n×n total matrix algebra as its fiber.

Mathematical Subject Classification

Primary: 16.40

Secondary: 16.80

Milestones

Received: 11 November 1964

Published: 1 March 1966