Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Nicolai Stammeier"'
Publikováno v:
Aiello, Valeriano; Conti, Roberto; Rossi, Stefano; Stammeier, Nicolai (2020). The inner structure of boundary quotients of right LCM semigroups. Indiana University mathematics journal, 69(5), pp. 1627-1661. Dept. of Mathematics, Indiana University 10.1512/iumj.2020.69.8006
We study distinguished subalgebras and automorphisms of boundary quotients arising from algebraic dynamical systems $(G,P,\theta)$. Our work includes a complete solution to the problem of extending Bogolubov automorphisms from the Cuntz algebra in $2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef56300cb0e3e639c10e6ec224390e1d
https://doi.org/10.1512/iumj.2020.69.8006
https://doi.org/10.1512/iumj.2020.69.8006
Publikováno v:
Indiana University Mathematics Journal. 67:2453-2486
We introduce algebraic dynamical systems, which consist of an action of a right LCM semigroup by injective endomorphisms of a group. To each algebraic dynamical system we associate a C*-algebra and describe it as a semigroup C*-algebra. As part of ou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cab5a4a5b108efacbbab485df2b69b94
https://doi.org/10.1512/iumj.2018.67.7527
https://doi.org/10.1512/iumj.2018.67.7527
Publikováno v:
International Mathematics Research Notices. 2019:1642-1698
We determine the structure of equilibrium states for a natural dynamics on the boundary quotient diagram of $C^*$-algebras for a large class of right LCM semigroups. The approach is based on abstract properties of the semigroup and covers the previou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f12028be2fdd51042ab7e4d1e821a30
https://doi.org/10.1093/imrn/rnx162
https://doi.org/10.1093/imrn/rnx162
We study the internal structure of $C^*$-algebras of right LCM monoids by means of isolating the core semigroup $C^*$-algebra as the coefficient algebra of a Fock-type module on which the full semigroup $C^*$-algebra admits a left action. If the semi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d9faab2623e77c741e5091ed297aef7
http://arxiv.org/abs/1902.02674
http://arxiv.org/abs/1902.02674
Publikováno v:
Barlak, S, Omland, T & Stammeier, N 2018, ' On the K-theory of C∗-algebras arising from integral dynamics ', Ergodic Theory and Dynamical Systems, vol. 38, no. 3, pp. 832-862 . https://doi.org/10.1017/etds.2016.63
We investigate the $K$-theory of unital UCT Kirchberg algebras $\mathcal{Q}_S$ arising from families $S$ of relatively prime numbers. It is shown that $K_*(\mathcal{Q}_S)$ is the direct sum of a free abelian group and a torsion group, each of which i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7353e0c7c736734d0fdd9536490468fa
https://doi.org/10.1017/etds.2016.63
https://doi.org/10.1017/etds.2016.63
Autor:
Nicolai Stammeier
The notion of a generalized scale emerged in recent joint work with Afsar-Brownlowe-Larsen on equilibrium states on C*-algebras of right LCM monoids, where it features as the key datum for the dynamics under investigation. This work provides the stru
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c4e5bfaae11ad71050c58c6357e7d27
http://hdl.handle.net/10852/73387
http://hdl.handle.net/10852/73387
Autor:
Nicolai Stammeier
We discuss the internal structure of graph products of right LCM semigroups and prove that there is an abundance of examples without property (AR). Thereby we provide the first examples of right LCM semigroups lacking this seemingly common feature. T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8728625c1d3a266325e4e1532bcb91c8
http://hdl.handle.net/10852/57820
http://hdl.handle.net/10852/57820
Autor:
Nicolai Stammeier
We propose a boundary quotient diagram for right LCM semigroups with property (AR) that generalizes the boundary quotient diagram for N⋊N×. Our approach focuses on two important subsemigroups: the core subsemigroup and the semigroup of core irredu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b261bc530c0ba3e01fb9a291c5aaacb1
http://arxiv.org/abs/1604.03172
http://arxiv.org/abs/1604.03172
Autor:
Nicolai Stammeier, Nathan Brownlowe
We introduce the notion of accurate foundation sets and the accurate refinement property for right LCM semigroups. For right LCM semigroups with this property, we derive a more explicit presentation of the boundary quotient. In the context of algebra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::23f2157300c44fe7d7c01765cb6b2655
http://arxiv.org/abs/1504.05734
http://arxiv.org/abs/1504.05734
We initiate the study of the internal structure of C*-algebras associated to a left cancellative semigroup in which any two principal right ideals are either disjoint or intersect in another principal right ideal; these are variously called right LCM
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c62556008caf88f4ce30f8acde064895
http://arxiv.org/abs/1406.5725
http://arxiv.org/abs/1406.5725