Morita equivalence for quantum Heisenberg manifolds

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Yang-mills for Quantum Heisenberg Manifolds

We consider the Yang-Mills problem for a quantum Heisenberg manifold, which is a C∗-algebra defined by the (strict) deformation quantization of the ordinary Heisenberg manifold, in the setting of non-commutative differential geometry following Connes and Rieffel [Co] [Co1]. 1. Preliminaries Classical Yang-Mills theory is concerned with the set of connections (i.e. gauge potentials) on a vector ...

متن کامل

Strong 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 کامل

Morita equivalence based on Morita context for arbitrary semigroups

In this paper, we study the Morita context for arbitrary semigroups. We prove that, for two semigroups S and T, if there exists a Morita context (S, T, P,Q, τ, μ) (not necessary unital) such that the maps τ and μ are surjective, the categories US-FAct and UT -FAct are equivalent. Using this result, we generalize Theorem 2 in [2] to arbitrary semigroups. Finally, we give a characterization of Mo...

متن کامل

A Survey on Morita Equivalence of Quantum Tori

This paper is a survey on the problem of classifying non-commutative tori up to Morita equivalence and will review the necessary background and discuss some results concerning this question (see [28],[29] and [22]). The concept of Morita equivalence was first introduced in operator algebras by M.Rieffel in the 1970’s, in connection with the problem of characterizing representations of locally c...

متن کامل

Morita equivalence for cyclotomic BMW algebras

Article history: Received 7 March 2013 Available online xxxx Communicated by Changchang Xi

متن کامل

ذخیره 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: Proceedings of the American Mathematical Society

سال: 2005

ISSN: 0002-9939,1088-6826

DOI: 10.1090/s0002-9939-05-07890-1