Homomorphisms from the Fredholm Semigroup to Abelian Semigroups
C. R. Math. Rep. Acad. Sci. Canada Vol. 34 (1) 2012, pp. 1–8
March 30, 2012
George A. Elliott, Department of Mathematics, University of Toronto, Toronto, Ontario, M5S 2E4; e-mail: elliott@math.toronto.edu
Brian Skinner, Department of Mathematics, California Institute of Technology, Pasadena, CA 91125, USA; e-mail: bskinner@caltech.edu
Abstract/Résumé:
It is shown that the universal enveloping abelian semigroup of the semigroup of Fredholm operators on an infinite-dimensional Hilbert space is the group of integers.
On démontre que l’index de Fredholm est le morphisme universel du semigroupe d’opérateurs de Fredholm sur un espace de Hilbert de dimension infinie dans un semigroupe abélien.
Keywords: Fredholm index, Fredholm operators, Fredholm semigroup relative to a stable C*-algebra, abelian semi-group, semigroup homomorphisms
AMS Subject Classification: General theory of $C^*$-algebras 46L05
AMS Subject Classification: General theory of $C^*$-algebras 46L05
PDF(click to download):
Homomorphisms from the Fredholm Semigroup to Abelian Semigroups
