Zobrazeno 1 - 10
of 662 460
pro vyhledávání: '"Morita"'
Autor:
Raile, Paolo1 (AUTHOR) paolo.raile@sfu.ac.at
Publikováno v:
Challenges (20781547). Sep2024, Vol. 15 Issue 3, p34. 11p.
We investigate the use of labelled graphs as a Morita equivalence invariant for inverse semigroups. We construct a labelled graph from a combinatorial inverse semigroup $S$ with $0$ admitting a special set of idempotent $\mathcal{D}$-class representa
Externí odkaz:
http://arxiv.org/abs/2411.09015
Autor:
De Ro, Joeri
Given a locally compact quantum group and two $\mathbb{G}$-$W^*$-algebras $\alpha: A\curvearrowleft \mathbb{G}$ and $\beta: B\curvearrowleft \mathbb{G}$, we study the notion of equivariant $W^*$-Morita equivalence $(A, \alpha)\sim_{\mathbb{G}} (B, \b
Externí odkaz:
http://arxiv.org/abs/2410.17407
Higher rank graphs, also known as $k$-graphs, are a $k$-dimensional generalization of directed graphs and a rich source of examples of $C^*$-algebras. In the present paper, we contribute to the geometric classification program for $k$-graph $C^*$-alg
Externí odkaz:
http://arxiv.org/abs/2411.19816
Autor:
Liu, Yeqin, Shen, Yu
We study Morita theory of Azumaya algebras on root gerbes $\mathscr{X}$. There, we find explicit equivalent conditions for Morita equivalence. During this study, we find examples of a decomposable category become indecomposable after a Brauer twist.<
Externí odkaz:
http://arxiv.org/abs/2409.20317
Autor:
Asashiba, Hideto, Pan, Shengyong
Let $G$ be a group and $\Bbbk$ a commutative ring. All categories and functors are assumed to be $\Bbbk$-linear. We define a $G$-invariant bimodule ${}_SM_R$ over $G$-categories $R, S$ and a $G$-graded bimodule ${}_BN_A$ over $G$-graded categories $A
Externí odkaz:
http://arxiv.org/abs/2408.03280
The Graded Classification Conjecture states that for finite directed graphs $E$ and $F$, the associated Leavitt path algebras $L_\K(E)$ and $L_\K(F)$ are graded Morita equivalent, i.e., $\Gr L_\K(E) \approx_{\gr} \Gr L_\K(F)$, if and only if, their g
Externí odkaz:
http://arxiv.org/abs/2409.19677
Autor:
De Ro, Joeri
$\DeclareMathOperator{\G}{\mathbb{G}}\DeclareMathOperator{\Rep}{Rep} \DeclareMathOperator{\Corr}{Corr}$Let $\G$ be a locally compact quantum group and $(M, \alpha)$ a $\G$-$W^*$-algebra. The object of study of this paper is the $W^*$-category $\Rep^{
Externí odkaz:
http://arxiv.org/abs/2408.07701