The Functor $K_{0}^{\operatorname {gr}}$ is Full and only Weakly Faithful
نویسندگان
چکیده
The Graded Classification Conjecture states that the pointed $K_{0}^{\operatorname {gr}}$ -group is a complete invariant of Leavitt path algebras finite graphs when these are considered with their natural grading by $\mathbb {Z}$ . strong version this conjecture functor full and faithful on category graded homomorphisms modulo conjugations invertible elements zero components. We show for unital countable it (modulo specified conjugations) only in certain weaker sense.
منابع مشابه
Only functional localization is faithful localization
Roland Lill 1,2,3, * 1 Institut für Zytobiologie und Zytopathologie, Philipps-Universität Marburg, Robert-Koch-Straße 6, 35032 Marburg, Germany. 2 Max-Planck-Institut für terrestrische Mikrobiologie, Karl-von-Frisch-Str. 10, 35043 Marburg, Germany. 3 LOEWE Zentrum für Synthetische Mikrobiologie SynMikro, Hans-Meerwein-Str., 35043 Marburg, Germany. * Corresponding Author: Roland Lill, Institut f...
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2023
ISSN: ['1386-923X', '1572-9079']
DOI: https://doi.org/10.1007/s10468-023-10199-w