caa a22 4500 467931828 CHVBK 20180406152945.0 cr unu---uuuuu 170328e20061101xx s 000 0 eng 10.1007/s00020-006-1430-8 doi (NATIONALLICENCE)springer-10.1007/s00020-006-1430-8 The C*-envelope of the Tensor Algebra of a Directed Graph [Elektronische Daten] [Elias Katsoulis, David Kribs] Abstract.: Given an arbitrary countable directed graph G we prove the C*- envelope of the tensor algebra $$\mathcal{T}_ + (G)$$ coincides with the universal Cuntz- Krieger algebra associated with G. Our approach is concrete in nature and does not rely on Hilbert module machinery. We show how our results extend to the case of higher rank graphs, where an analogous result is obtained for the tensor algebra of a row-finite k-graph with no sources. Birkhäuser Verlag, Basel, 2006 C*-envelope nationallicence Cuntz-Krieger C*-algebra nationallicence graph C*-algebra nationallicence tensor algebra nationallicence Fock space nationallicence Katsoulis Elias Department of Mathematics, East Carolina University, 27858, Greenville, NC, USA aut Kribs David Department of Mathematics and Statistics, University of Guelph, N1G 2W1, Guelph, Ontario, Canada aut Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhäuser.ch 56/3(2006-11-01), 401-414 0378-620X 56:3<401 2006 56 20 https://doi.org/10.1007/s00020-006-1430-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00020-006-1430-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Katsoulis Elias Department of Mathematics, East Carolina University, 27858, Greenville, NC, USA aut NATIONALLICENCE 700 1- Kribs David Department of Mathematics and Statistics, University of Guelph, N1G 2W1, Guelph, Ontario, Canada aut NATIONALLICENCE 773 0- Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhäuser.ch 56/3(2006-11-01), 401-414 0378-620X 56:3<401 2006 56 20 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer