Elliott, George A. and Skinner, Brian (2012) Homomorphisms from the Fredholm Semigroup to Abelian Semigroups. Comptes Rendus Mathématiques de l'Académie des Sciences. La Société Royale du Canada, 34 (1). pp. 1-8. ISSN 0706-1994. https://resolver.caltech.edu/CaltechAUTHORS:20120907-143459916
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Abstract
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.
| Item Type: | Article | ||||||
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| Additional Information: | © 2012 Royal Society of Canada. Received by the editors on April 18, 2010; revised August 15, 2011. This research was supported by a grant from the Natural Sciences and Engineering Research Council. | ||||||
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| Subject Keywords: | Fredholm operators, Fredholm index, semigroup homomorphisms, abelian semigroup, Fredholm semigroup relative to a stable C*-algebra | ||||||
| Issue or Number: | 1 | ||||||
| Classification Code: | AMS Subject Classification: Primary: 46L05; secondary: 46L80 | ||||||
| Record Number: | CaltechAUTHORS:20120907-143459916 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20120907-143459916 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 33943 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 07 Sep 2012 22:51 | ||||||
| Last Modified: | 03 Oct 2019 04:14 |
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