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Morita Equivalence and Continuous-Trace $C^*$-Algebras
The algebra of compact operators Hilbert $C^*$-modules Morita equivalence Sheaves, cohomology, and bundles Continuous-trace $C^*$-algebras Applications Epilogue: The Brauer group and group actionsExpand
Twisted crossed products of C *-algebras
Group algebras and crossed products have always played an important role in the theory of C *-algebras, and there has also been considerable interest in various twisted analogues, where theExpand
CUNTZ-KRIEGER ALGEBRAS OF DIRECTED GRAPHS
We associate to each row-nite directed graph E a universal Cuntz-Krieger C-algebra C(E), and study how the distribution of loops in E aects the structure of C(E) .W e prove that C(E) is AF if andExpand
Graphs, Groupoids, and Cuntz–Krieger Algebras
We associate to each locally finite directed graphGtwo locally compact groupoidsGandG(★). The unit space ofGis the space of one–sided infinite paths inG, andG(★) is the reduction ofGto the space ofExpand
Representations of Cuntz-Pimsner algebras
Let X be a Hilbert bimodule over a C*-algebra A. We analyse the structure of the associated Cuntz-Pimsner algebra O X and related algebras using representation-theoretic methods. In particular, weExpand
The ideal structure of the $C\sp *$-algebras of infinite graphs
We classify the gauge-invariant ideals in the C*-algebras of infinite directed graphs, and describe the quotients as graph algebras. We then use these results to identify the gauge-invariantExpand
THE C -ALGEBRAS OF ROW-FINITE GRAPHS
NSKI Abstract. We prove versions of the fundamental theorems about Cuntz-Krieger algebras for the C -algebras of row-finite graphs: directed graphs in which each vertex emits at most finitely manyExpand
HIGHER-RANK GRAPHS AND THEIR $C^*$-ALGEBRAS
Abstract We consider the higher-rank graphs introduced by Kumjian and Pask as models for higher-rank Cuntz–Krieger algebras. We describe a variant of the Cuntz–Krieger relations which applies toExpand
Semigroup Crossed Products and the Toeplitz Algebras of Nonabelian Groups
Abstract We consider the quasi-lattice ordered groups ( G ,  P ) recently introduced by Nica. We realise their universal Toeplitz algebra as a crossed product B P ⋊ P by a semigroup of endomorphisms,Expand
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