We study differential operators with coefficients in noncommutative algebras. As an algebra of coefficients, we consider crossed products corresponding to the action of a discrete group on a smooth manifold. We give index formulas for the Euler, signature, and Dirac operators twisted by projections over the crossed product. The index of Connes operators on the noncommutative torus is computed. © 2010 Pleiades Publishing, Ltd
This book illustrates several aspects of the current research activity in operator theory, operator ...
This article is a translation into English of the paper "Géométrie non commutative, opérateur de sig...
Abstract: Given a compact manifold with boundary, endowed with an isometric action of a discrete gro...
We study differential operators with coefficients in noncommutative algebras. As an algebra of coeff...
We consider noncommutative elliptic operators over C*-algebras, associated with a discrete group of ...
We consider a class of nonlocal operators associated with a compact Lie group G acting on a smooth m...
We consider a class of nonlocal operators associated with a compact Lie group G acting on a smooth m...
The index problem for nonlocal elliptic operators representable as a finite sum of the form of pseud...
The index problem for nonlocal elliptic operators representable as a finite sum of the form of pseud...
We study the twisted index theory of elliptic operators on orbifold covering spaces of compact good ...
We consider the Dirac operator of a general metric in the canonical conformal class on the noncommut...
A study was conducted to demonstrate index of nonlocal elliptic operators over C*-algebras. The elli...
A study was conducted to demonstrate index of nonlocal elliptic operators over C*-algebras. The elli...
this paper, we prove a twisted index theorem for elliptic operators on orbifold covering spaces of c...
AbstractWe present a detailed proof of the existence-theorem for noncommutative spectral sections (s...
This book illustrates several aspects of the current research activity in operator theory, operator ...
This article is a translation into English of the paper "Géométrie non commutative, opérateur de sig...
Abstract: Given a compact manifold with boundary, endowed with an isometric action of a discrete gro...
We study differential operators with coefficients in noncommutative algebras. As an algebra of coeff...
We consider noncommutative elliptic operators over C*-algebras, associated with a discrete group of ...
We consider a class of nonlocal operators associated with a compact Lie group G acting on a smooth m...
We consider a class of nonlocal operators associated with a compact Lie group G acting on a smooth m...
The index problem for nonlocal elliptic operators representable as a finite sum of the form of pseud...
The index problem for nonlocal elliptic operators representable as a finite sum of the form of pseud...
We study the twisted index theory of elliptic operators on orbifold covering spaces of compact good ...
We consider the Dirac operator of a general metric in the canonical conformal class on the noncommut...
A study was conducted to demonstrate index of nonlocal elliptic operators over C*-algebras. The elli...
A study was conducted to demonstrate index of nonlocal elliptic operators over C*-algebras. The elli...
this paper, we prove a twisted index theorem for elliptic operators on orbifold covering spaces of c...
AbstractWe present a detailed proof of the existence-theorem for noncommutative spectral sections (s...
This book illustrates several aspects of the current research activity in operator theory, operator ...
This article is a translation into English of the paper "Géométrie non commutative, opérateur de sig...
Abstract: Given a compact manifold with boundary, endowed with an isometric action of a discrete gro...
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