naa a22 4500 510782450 CHVBK 20180411083252.0 cr unu---uuuuu 180411e20130101xx s 000 0 eng 10.1007/s11856-012-0106-0 doi (NATIONALLICENCE)springer-10.1007/s11856-012-0106-0 Co-universal C *-algebras associated to generalised graphs [Elektronische Daten] [Nathan Brownlowe, Aidan Sims, Sean Vittadello] We introduce P-graphs, which are generalisations of directed graphs in which paths have a degree in a semigroup P rather than a length in ℕ. We focus on semigroups P arising as part of a quasi-lattice ordered group (G, P) in the sense of Nica, and on P-graphs which are finitely aligned in the sense of Raeburn and Sims. We show that each finitely aligned P-graph admits a C*-algebra C*min (Λ) which is co-universal for partialisometric representations of Λ which admit a coaction of G compatible with the P-valued length function. We also characterise when a homomorphism induced by the co-universal property is injective. Our results combined with those of Spielberg show that every Kirchberg algebra is Morita equivalent to C*min (Λ) for some (ℕ2* ℕ)-graph Λ. Hebrew University Magnes Press, 2012 Brownlowe Nathan School of Mathematics and Applied Statistics, University of Wollongong, Austin Keane Building, 2522, Wollongong, NSW, Australia aut Sims Aidan School of Mathematics and Applied Statistics, University of Wollongong, Austin Keane Building, 2522, Wollongong, NSW, Australia aut Vittadello Sean School of Mathematics and Applied Statistics, University of Wollongong, Austin Keane Building, 2522, Wollongong, NSW, Australia aut Israel Journal of Mathematics The Hebrew University Magnes Press 193/1(2013-01-01), 399-440 0021-2172 193:1<399 2013 193 11856 https://doi.org/10.1007/s11856-012-0106-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11856-012-0106-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Brownlowe Nathan School of Mathematics and Applied Statistics, University of Wollongong, Austin Keane Building, 2522, Wollongong, NSW, Australia aut NATIONALLICENCE 700 1- Sims Aidan School of Mathematics and Applied Statistics, University of Wollongong, Austin Keane Building, 2522, Wollongong, NSW, Australia aut NATIONALLICENCE 700 1- Vittadello Sean School of Mathematics and Applied Statistics, University of Wollongong, Austin Keane Building, 2522, Wollongong, NSW, Australia aut NATIONALLICENCE 773 0- Israel Journal of Mathematics The Hebrew University Magnes Press 193/1(2013-01-01), 399-440 0021-2172 193:1<399 2013 193 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer