Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hilbert $C^*$-modules over $\Sigma^*$-algebras II: $\Sigma^*$-Morita
  equivalence   In previous work, we defined and studied $\Sigma^*$-modules, a class of
Hilbert $C^*$-modules over $\Sigma^*$-algebras (the latter are $C^*$-algebras
that are sequentially closed in the weak operator topology). The present work
continues this study by developing the appropriate $\Sigma^*$-algebraic
analogue of the notion of strong Morita equivalence for $C^*$-algebras. We
define strong $\Sigma^*$-Morita equivalence, prove a few characterizations,
look at the relationship with equivalence of categories of a certain type of
Hilbert space representation, study $\Sigma^*$-versions of the interior and
exterior tensor products, and prove a $\Sigma^*$-version of the
Brown-Green-Rieffel stable isomorphism theorem.

23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ