Noncommutative motives of Azumaya algebras
G Tabuada, M Van den Bergh - … of the Institute of Mathematics of …, 2015 - cambridge.org
Let are isomorphic. As an application, we conclude that a similar isomorphism holds for
every-linear additive invariant. This leads to several computations. Along the way we show …
every-linear additive invariant. This leads to several computations. Along the way we show …
Multiplicative groups of division rings
R Hazrat, M Mahdavi-Hezavehi, M Motiee - Mathematical Proceedings of the …, 2014 - JSTOR
Exactly 170 years ago, the construction of the real quaternion algebra by William Hamilton
was announced in the Proceedings of the Royal Irish Academy. It became the first example …
was announced in the Proceedings of the Royal Irish Academy. It became the first example …
Noncommutative numerical motives, Tannakian structures, and motivic Galois groups
M Marcolli, G Tabuada - Journal of the European Mathematical Society, 2016 - ems.press
In this article we further the study of noncommutative numerical motives, initiated in [30, 31].
By exploring the change-of-coefficients mechanism, we start by improving some of the main …
By exploring the change-of-coefficients mechanism, we start by improving some of the main …
On the vanishing of Twisted negative K-theory and homotopy invariance
V Sadhu - arXiv preprint arXiv:2409.06228, 2024 - arxiv.org
In this article, we revisit Weibel's conjecture for twisted $ K $-theory. We also examine the
vanishing of twisted negative $ K $-groups for Pr\"{u} fer domains. Furthermore, we observe …
vanishing of twisted negative $ K $-groups for Pr\"{u} fer domains. Furthermore, we observe …
The derived Picard group of an affine Azumaya algebra
C Negron - Selecta Mathematica, 2017 - Springer
We describe the derived Picard group of an Azumaya algebra A on an affine scheme X in
terms of global sections of the constant sheaf of integers on X, the Picard group of X, and the …
terms of global sections of the constant sheaf of integers on X, the Picard group of X, and the …
Multiplicative groups of division rings
R Hazrat, M Mahdavi-Hezavehi, M Motiee - arXiv preprint arXiv:1302.0596, 2013 - arxiv.org
Exactly 170 years ago, the construction of the real quaternion algebra by William Hamilton
was announced in the Proceedings of the Royal Irish Academy. It became the first example …
was announced in the Proceedings of the Royal Irish Academy. It became the first example …