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466
On the Morita equivalence of tensor algebras
 Proc. London Math. Soc
"... Our objective is two fold. First, we want to develop a notion of Morita equivalence for Ccorrespondences that guarantees that if two Ccorrespondences E and F are Morita equivalent, then the tensor algebras of E and F, T
E and T
F , are strongly Morita equivalent in the sense of [8], the Toepl ..."
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Cited by 42 (16 self)
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Our objective is two fold. First, we want to develop a notion of Morita equivalence for Ccorrespondences that guarantees that if two Ccorrespondences E and F are Morita equivalent, then the tensor algebras of E and F, T
E and T
F , are strongly Morita equivalent in the sense of [8
Morita Equivalence In Algebra And Geometry
, 1997
"... We study the notion of Morita equivalence in various categories. We start with Morita equivalence and Morita duality in pure algebra. Then we consider strong Morita equivalence for C*algebras and Morita equivalence for W*algebras. Finally, we look at the corresponding notions for groupoids (with s ..."
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Cited by 3 (0 self)
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We study the notion of Morita equivalence in various categories. We start with Morita equivalence and Morita duality in pure algebra. Then we consider strong Morita equivalence for C*algebras and Morita equivalence for W*algebras. Finally, we look at the corresponding notions for groupoids (with
Morita Equivalence of Cherednik Algebras
 J. Reine Angew. Math
"... Abstract. We classify the rational Cherednik algebras Hc(W) (and their spherical subalgebras) up to isomorphism and Morita equivalence in case when W is the symmetric group and c is a generic parameter value. 1. ..."
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Cited by 20 (6 self)
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Abstract. We classify the rational Cherednik algebras Hc(W) (and their spherical subalgebras) up to isomorphism and Morita equivalence in case when W is the symmetric group and c is a generic parameter value. 1.
Morita equivalence of semigroups
, 2012
"... thesis or use of any of the information contained in it must be acknowledging this thesis as the source of the quotation or information. ii Morita equivalence is a general way of classifying structures by means of their actions that is weaker than isomorphism but at the same time useful. It arose fi ..."
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thesis or use of any of the information contained in it must be acknowledging this thesis as the source of the quotation or information. ii Morita equivalence is a general way of classifying structures by means of their actions that is weaker than isomorphism but at the same time useful. It arose
Noncommutative fermions and Morita equivalence
, 2008
"... We study the Morita equivalence for fermion theories on noncommutative twotori. For rational values of the θ parameter (in appropriate units) we show the equivalence between an abelian noncommutative fermion theory and a nonabelian theory of twisted fermions on ordinary space. We study the chiral a ..."
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We study the Morita equivalence for fermion theories on noncommutative twotori. For rational values of the θ parameter (in appropriate units) we show the equivalence between an abelian noncommutative fermion theory and a nonabelian theory of twisted fermions on ordinary space. We study the chiral
STRONG MORITA EQUIVALENCE OF INVERSE SEMIGROUPS
, 2009
"... We introduce strong Morita equivalence for inverse semigroups. This notion encompasses Mark Lawson’s concept of enlargement. Strongly Morita equivalent inverse semigroups have Morita equivalent universal groupoids in the sense of Paterson and hence strongly Morita equivalent universal and reduced C ..."
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Cited by 13 (4 self)
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We introduce strong Morita equivalence for inverse semigroups. This notion encompasses Mark Lawson’s concept of enlargement. Strongly Morita equivalent inverse semigroups have Morita equivalent universal groupoids in the sense of Paterson and hence strongly Morita equivalent universal and reduced C
Momentum Maps and Morita Equivalence
, 2003
"... We introduce quasisymplectic groupoids and explain their relation with momentum map theories. This approach enables us to unify into a single framework various momentum map theories, including the ordinary Hamiltonian Gspaces, Lu’s momentum maps of Poisson group actions, and group valued momentum ..."
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Cited by 13 (3 self)
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)/Γ is a symplectic manifold (even though ωX ∈ Ω 2 (X) may be degenerate), where O ⊂ P is a groupoid orbit. More generally, we prove that the intertwiner space (X1 ×P X2)/Γ between two Hamiltonian Γspaces X1 and X2 is a symplectic manifold (whenever it is a smooth manifold); (3) Study Morita equivalence
MORITA EQUIVALENCE OF DUAL OPERATOR ALGEBRAS
, 2008
"... We consider notions of Morita equivalence appropriate to weak* closed algebras of Hilbert space operators. We obtain new variants, appropriate to the dual algebra setting, of the basic theory of strong Morita equivalence, and new nonselfadjoint analogues of aspects of Rieffel’s W∗algebraic Morita ..."
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Cited by 9 (3 self)
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We consider notions of Morita equivalence appropriate to weak* closed algebras of Hilbert space operators. We obtain new variants, appropriate to the dual algebra setting, of the basic theory of strong Morita equivalence, and new nonselfadjoint analogues of aspects of Rieffel’s W∗algebraic Morita
Monoidal Morita equivalence
"... Let A be an algebra over the commutative ring k. It is well known that the category MA of right Amodules is cocomplete, Abelian and the right regular object AA is a small projective generator. The latter three properties means precisely that the functor Hom A(A, ) : MA → Mk preserves coproducts, pr ..."
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Cited by 3 (1 self)
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, Abelian and possesses a small projective generator. Of course the algebra A is determined by C only up to Morita equivalence. The analogue question for monoidal module categories has been studied by B. Pareigis in [10]. With the advent of quantum groupoids it is worth reconsidering the question. Therefore
Categorical quasivarieties via Morita equivalence
, 1994
"... Abstract. We give a new proof of the classification of ℵ0categorical quasivarieties by using Morita equivalence to reduce to term minimal quasivarieties. 1. ..."
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Cited by 2 (1 self)
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Abstract. We give a new proof of the classification of ℵ0categorical quasivarieties by using Morita equivalence to reduce to term minimal quasivarieties. 1.
Results 1  10
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