Zobrazeno 1 - 10
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pro vyhledávání: '"STAMMEIER, NICOLAI"'
Autor:
Neshveyev, Sergey, Stammeier, Nicolai
Given a right LCM semigroup $S$ and a homomorphism $N\colon S\to[1,+\infty)$, we use the groupoid approach to study the KMS$_\beta$-states on $C^*(S)$ with respect to the dynamics induced by $N$. We establish necessary and sufficient conditions for t
Externí odkaz:
http://arxiv.org/abs/1912.03141
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:
http://arxiv.org/abs/1902.02674
Autor:
Stammeier, Nicolai
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:
http://arxiv.org/abs/1804.06640
Publikováno v:
Indiana Univ. Math. J. 69 (2020), 1627-1661
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:
http://arxiv.org/abs/1709.08839
Autor:
Stammeier, Nicolai
Publikováno v:
J.Aust.Math.Soc.104(2), April 2018, pp. 274-288
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:
http://arxiv.org/abs/1612.05127
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:
http://arxiv.org/abs/1611.01052
Publikováno v:
Indiana University Mathematics Journal, 2020 Jan 01. 69(5), 1627-1661.
Externí odkaz:
https://www.jstor.org/stable/26959901
Autor:
Stammeier, Nicolai
Publikováno v:
Semigroup Forum 95(3), December 2017, pp. 539-554
We propose a boundary quotient diagram for right LCM semigroups with property (AR) that generalizes the boundary quotient diagram for the $ax+b$-semigroup over the natural numbers. Our approach focuses on two important subsemigroups: the core subsemi
Externí odkaz:
http://arxiv.org/abs/1604.03172
Publikováno v:
Ergodic Theory Dynam. Systems 38(3), May 2018, pp. 832-862
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:
http://arxiv.org/abs/1512.04496
Autor:
Brownlowe, Nathan, Stammeier, Nicolai
Publikováno v:
J. Math. Anal. Appl. 438 (2016), no. 2, 772-789
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:
http://arxiv.org/abs/1504.05734