TY - JOUR
T1 - A class of C*-algebras generalizing both graph algebras and homeomorphism C*-algebras I, fundamental results
AU - Katsura, Takeshi
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2004/11
Y1 - 2004/11
N2 - We introduce a new class of C*-algebras, which is a generalization of both graph algebras and homeomorphism C*-algebras. This class is very large and also very tractable. We prove the so-called gauge-invariant uniqueness theorem and the Cuntz-Krieger uniqueness theorem, and compute the K-groups of our algebras.
AB - We introduce a new class of C*-algebras, which is a generalization of both graph algebras and homeomorphism C*-algebras. This class is very large and also very tractable. We prove the so-called gauge-invariant uniqueness theorem and the Cuntz-Krieger uniqueness theorem, and compute the K-groups of our algebras.
UR - http://www.scopus.com/inward/record.url?scp=7544240534&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=7544240534&partnerID=8YFLogxK
U2 - 10.1090/S0002-9947-04-03636-0
DO - 10.1090/S0002-9947-04-03636-0
M3 - Article
AN - SCOPUS:7544240534
SN - 0002-9947
VL - 356
SP - 4287
EP - 4322
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
IS - 11
ER -