Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Michael F. Whittaker"'
Autor:
Michael Mampusti, Michael F. Whittaker
Publikováno v:
Bulletin of the London Mathematical Society. 52:942-959
We introduce a new type of aperiodic hexagonal monotile; a prototile that admits infinitely many tilings of the plane, but any such tiling lacks any translational symmetry. Adding a copy of our monotile to a patch of tiles must satisfy two rules that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::30eae1ad621cf86a1fb964fd53b6f620
https://doi.org/10.1112/blms.12375
https://doi.org/10.1112/blms.12375
Autor:
Marzieh Forough, Samuel Evington, David A. Watt, Joachim Zacharias, Sergio Girón Pacheco, Martin Vrabec, Michael F. Whittaker, Esperanza Garijo, Sarunas Kaubrys, Stuart White, Philip Easo, David Nkansah, Cameron Wilson, Christian Bönicke, Nicholas Seaton
We prove that unital extensions of Kirchberg algebras by separable stable AF algebras have nuclear dimension one. The title follows.
Comment: Minor changes. Accepted Version. J. Funct. Anal., to appear
Comment: Minor changes. Accepted Version. J. Funct. Anal., to appear
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18352980017b8a3091b399d491605b87
Autor:
Michael F. Whittaker, Michael Mampusti
Publikováno v:
Journal of Geometry and Physics. 112:224-239
We introduce a new class of noncommutative spectral triples on Kellendonk’s C ∗ -algebra associated with a nonperiodic substitution tiling. These spectral triples are constructed from fractal trees on tilings, which define a geodesic distance bet
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c077527ff3b86d3ae9a73d47d08d053d
https://doi.org/10.1016/j.geomphys.2016.11.010
https://doi.org/10.1016/j.geomphys.2016.11.010
We study irreducible Smale spaces with totally disconnected stable sets and their associated $K$-theoretic invariants. Such Smale spaces arise as Wieler solenoids, and we restrict to those arising from open surjections. The paper follows three conver
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a0c8ca92e0318b73e2c8491c8c1a242
https://eprints.gla.ac.uk/133590/21/133590.pdf
https://eprints.gla.ac.uk/133590/21/133590.pdf
Publikováno v:
Journal of Functional Analysis. 266:6619-6661
We consider a family of Cuntz-Pimsner algebras associated to self-similar group actions, and their Toeplitz analogues. Both families carry natural dynamics implemented by automorphic actions of the real line, and we investigate the equilibrium states
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5630280af7792ac62fad8302340b9cc6
https://doi.org/10.1016/j.jfa.2014.03.003
https://doi.org/10.1016/j.jfa.2014.03.003
Publikováno v:
Journal of Functional Analysis. 266:3937-3967
Zappa–Szep products of semigroups provide a rich class of examples of semigroups that include the self-similar group actions of Nekrashevych. We use Li's construction of semigroup C ⁎ -algebras to associate a C ⁎ -algebra to Zappa–Szep produc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4df3384ded386ba85a54cc3bda5ea70d
https://doi.org/10.1016/j.jfa.2013.12.025
https://doi.org/10.1016/j.jfa.2013.12.025
Autor:
Michael F. Whittaker
Publikováno v:
Journal of Noncommutative Geometry. 7:563-582
Spectral triples are defined for C*-algebras associated with hyperbolic dynamical systems known as Smale spaces. The spectral dimension of one of these spectral triples is shown to recover the topological entropy of the Smale space.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ee809cd4fe51f8977a926d24d4564dac
https://doi.org/10.4171/jncg/127
https://doi.org/10.4171/jncg/127
We consider self-similar actions of groupoids on the path spaces of finite directed graphs, and construct examples of such self-similar actions using a suitable notion of graph automaton. Self-similar groupoid actions have a Cuntz-Pimsner algebra and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b838a638e716094a244eb907cf074d4
We study the external and internal Zappa-Sz\'ep product of topological groupoids. We show that under natural continuity assumptions the Zappa-Sz\'ep product groupoid is \'etale if and only if the individual groupoids are \'etale. In our main result w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c93f969c0d5cfc4dd32b8d7dc430e1b5
http://arxiv.org/abs/1507.03689
http://arxiv.org/abs/1507.03689
Starting with a substitution tiling, we demonstrate a method for constructing infinitely many new substitution tilings. Each of these new tilings is derived from a graph iterated function system and the tiles have fractal boundary. We show that each
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d59fbe42f86b56baad2faee2be2493b2
http://arxiv.org/abs/1410.4708
http://arxiv.org/abs/1410.4708