We generalise a number of classical results from the theory of KMS states to KMS weights in
the setting of C-dynamical systems arising from a continuous groupoid homomorphism c …

Given a right LCM semigroup SS and a homomorphism N: S→ 1,+∞) N:S→1,+∞), we use
the groupoid approach to study the KMS β _β‐states on C∗(S) C^*(S) with respect to the …

Given a quasi-lattice ordered group (G, P) and a compactly aligned product system X of
essential C^* C∗-correspondences over the monoid P, we show that there is a bijection …

We extend ultragraph shift spaces and the realization of ultragraph C*-algebras as partial
crossed products to include ultragraphs with sinks (under a mild condition, called (RFUM2) …

In this paper, we consider non-standard dynamics on the C∗-algebra associated with a
higher-rank graph Λ. These dynamics were first introduced by McNamara in his thesis, and …

Let be a homeomorphism of a compact metric space X. For any continuous function there is
a one-parameter group of automorphisms (or a flow) on the crossed product-algebra defined …

We consider groupoids constructed from a finite number of commuting local
homeomorphisms acting on a compact metric space and study generalized Ruelle operators …

Abstract The Toeplitz algebra TC⁎(Λ) for a finite k-graph Λ is equipped with a continuous
one-parameter group α r for each r∈ R k, obtained by composing the map R∋ t→(eitr 1 …

We consider a family of higher-dimensional non-commutative tori, which are twisted
analogues of the algebras of continuous functions on ordinary tori and their Toeplitz …

arXiv:1905.01001v1 [math.OA] 3 May 2019 Page 1 arXiv:1905.01001v1 [math.OA] 3 May
2019 EQUILIBRIUM STATES ON THE TOEPLITZ ALGEBRAS OF SMALL HIGHER-RANK …