Browsing NTNU Open by Author "Bohmann, Anna Marie"
Now showing items 1-4 of 4
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Boolean algebras, Morita invariance and the algebraic K-theory of Lawvere theories
Bohmann, Anna Marie; Szymik, Markus (Peer reviewed; Journal article, 2023)The algebraic K-theory of Lawvere theories is a conceptual device to elucidate the stable homology of the symmetry groups of algebraic structures such as the permutation groups and the automorphism groups of free groups. ... -
Generalizations of Loday’s assembly maps for Lawvere’s algebraic theories
Bohmann, Anna Marie; Szymik, Markus (Peer reviewed; Journal article, 2023)Loday’s assembly maps approximate the K-theory of group rings by the K-theory of the coefficient ring and the corresponding homology of the group. We present a generalisation that places both ingredients on the same footing. ... -
Genuine-commutative structure on rational equivariant K-theory for finite abelian groups
Bohmann, Anna Marie; Hazel, Christy; Ishak, Jocelyne; Kedziorek, Magdalena; May, Clover (Peer reviewed; Journal article, 2022)In this paper, the authors build on their previous work to show that periodic rational -equivariant topological -theory has a unique genuine-commutative ring structure for a finite abelian group. This means that every ... -
Naive-commutative structure on rational equivariant K-theory for abelian groups
Bohmann, Anna Marie; Hazel, Christy; Ishak, Jocelyne; Kedziorek, Magdalena; May, Clover (Peer reviewed; Journal article, 2022)In this paper, we calculate the image of the connective and periodic rational equivariant complex K-theory spectrum in the algebraic model for naive-commutative ring G-spectra given by Barnes, Greenlees and Kędziorek for ...