Full duality among graph algebras and flat graph algebras |
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| Authors: | William A Lampe George F McNulty Ross Willard |
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| Institution: | (1) Department of Mathematics, University of Hawaii, 2565 The Mall, Honolulu, Hi 96822, USA, e-mail: bill@math.hawaii.edu, US;(2) Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA, e-mail: mcnulty@math.sc.edu, US;(3) Department of Pure Mathematics, University of Waterloo, Waterloo, Ont. N2L 3G1, Canada, e-mail: rdwillard@gillian.math.uwaterloo.ca , CA |
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| Abstract: | We prove that among finite graph algebras and among finite flat graph algebras, dualizability, full dualizability, strong
dualizability and entropicity are all equivalent. Any finite (flat) graph algebra which is not dualizable must be inherently
non--dualizable for every infinite cardinal . A new, general method for proving strong duality is presented.
Received August 30, 1999; accepted in final form September 22, 1999. |
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| Keywords: | and phrases: Natural duality graph algebra strong duality fully duality |
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