Research output: Working paper

**On strong affine representations of the polycyclic monoids.** / Hartmann, Miklos; Waldhauser, Tamas.

Research output: Working paper

Hartmann, M & Waldhauser, T 2014 'On strong affine representations of the polycyclic monoids' pp. 1-16. <http://www.math.u-szeged.hu/~hartm/PDFs/polyart3.pdf>

Hartmann, M., & Waldhauser, T. (2014). *On strong affine representations of the polycyclic monoids*. (pp. 1-16). http://www.math.u-szeged.hu/~hartm/PDFs/polyart3.pdf

Hartmann M, Waldhauser T. On strong affine representations of the polycyclic monoids. 2014, p. 1-16.

@techreport{ed7e4e2e37704eebbcdc5c4f7c8e0712,

title = "On strong affine representations of the polycyclic monoids",

abstract = "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.",

author = "Miklos Hartmann and Tamas Waldhauser",

year = "2014",

language = "English",

pages = "1--16",

type = "WorkingPaper",

}

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 -