Research output: Working paper
On strong affine representations of the polycyclic monoids. / Hartmann, Miklos; Waldhauser, Tamas.
2014. p. 1-16.Research output: Working paper
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TY - UNPB
T1 - On strong affine representations of the polycyclic monoids
AU - Hartmann, Miklos
AU - Waldhauser, Tamas
PY - 2014
Y1 - 2014
N2 - Jones and the second author have discovered in [4] that certain representations of the so-called polycyclic monoids are closely related to the representations of the Cuntz algebras Cn studied by Bratteli and Jorgenssen in [2]. We investigate these representations of the polycyclic monoids, generalise some results from [4], give a (sharp) upper bound on the number of atoms in case one of the parameters tends to infinity and present an infinite family of representations having only one atom. Furthermore, by making use of a C++ program we present some observations regarding the ratio of atoms to the number of possible atoms in the n = 3 case.
AB - Jones and the second author have discovered in [4] that certain representations of the so-called polycyclic monoids are closely related to the representations of the Cuntz algebras Cn studied by Bratteli and Jorgenssen in [2]. We investigate these representations of the polycyclic monoids, generalise some results from [4], give a (sharp) upper bound on the number of atoms in case one of the parameters tends to infinity and present an infinite family of representations having only one atom. Furthermore, by making use of a C++ program we present some observations regarding the ratio of atoms to the number of possible atoms in the n = 3 case.
M3 - Working paper
SP - 1
EP - 16
BT - On strong affine representations of the polycyclic monoids
ER -