Stable isomorphism and strong Morita equivalence ofC∗-algebras
نویسندگان
چکیده
منابع مشابه
Morita equivalence for cyclotomic BMW algebras
Article history: Received 7 March 2013 Available online xxxx Communicated by Changchang Xi
متن کاملMorita Equivalence of Brandt Semigroup Algebras
We prove that for every group G and any two sets I, J , the Brandt semigroup algebras l(B(I,G)) and l(B(J,G)) are Morita equivalent with respect to the Morita theory of selfinduced Banach algebras introduced by Grønbæk. As applications, we show that if G is an amenable group, then for a wide class of Banach l(B(I,G))-bimodules E, and every n > 0, the bounded Hochschild cohomology groups H(l(B(I...
متن کاملStrong Morita Equivalence of Inverse Semigroups
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∗-algebras. As a consequence we obtain a new proof of a result of Khoshkam and Skandalis showing t...
متن کاملStrong Morita Equivalence for Heisenberg C*-algebras and the Positive Cones of Their ^-groups
Introduction. In [14] we began a study of C*-algebras corresponding to projective representations of the discrete Heisenberg group, and classified these C*-algebras up to *-isomorphism. In this sequel to [14] we continue the study of these so-called Heisenberg C*-algebras, first concentrating our study on the strong Morita equivalence classes of these C*-algebras. We recall from [14] that a Hei...
متن کاملThe Morita-equivalence between MV-algebras and abelian `-groups with strong unit
We show that the theory of MV-algebras is Morita-equivalent to that of abelian `-groups with strong unit. This generalizes the well-known equivalence between the categories of set-based models of the two theories established by D. Mundici in 1986, and allows to transfer properties and results across them by using the methods of topos theory. We discuss several applications, including a sheaf-th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1977
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1977.71.349