Moscow Mathematical Journal

Volume 18, Issue 4, October–December 2018 pp. 787–797.

Invariants of Noncommutative Projective Schemes

Authors: Gonçalo Tabuada (1)
Author institution:(1) Department of Mathematics, MIT, Cambridge, MA 02139, USA; Departamento de Matemática, FCT, UNL, Portugal; Centro de Matemática e Aplicações (CMA), FCT, UNL, Portugal

Summary:

In this note we compute several invariants (e.g. algebraic K-theory, cyclic homology and topological Hochschild homology) of the noncommutative projective schemes associated to Koszul algebras of finite global dimension.

2010 Math. Subj. Class. 14A22, 14N05, 16S37, 19D55, 19E08.

Keywords: Noncommutative algebraic geometry, projective geometry, Koszul duality, algebraic K-theory, cyclic homology and its variants, topological Hochschild homology.

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