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Structure and states of operator-algebraic dynamical systems

Title
Structure and states of operator-algebraic dynamical systems
Funding
ARC | Discovery Projects
Contract (GA) number
DP1096001
Start Date
2010/01/01
End Date
2012/12/31
Open Access mandate
no
Organizations
-
More information
http://purl.org/au-research/grants/arc/DP1096001

 

  • Functorial properties of Putnam's homology theory for Smale spaces

    We investigate functorial properties of Putnam’s homology theory for Smale spaces. Our analysis shows that the addition of a conjugacy condition is necessary to ensure functoriality. Several examples are discussed that elucidate the need for our additional hypotheses. Our second main result is a natural generalization of Putnam’s Pullback Lemma from shifts of finite type to non-wandering Smale spaces.
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