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On the algebraic K-theory of truncated polynomial algebras in several variables
algebraic K-theory truncated polynomial algebras several variables Algebraic Topology
2012/6/14
We consider the algebraic K-theory of a truncated polynomial algebra in several commuting variables, K(k[x_1, ..., x_n]/(x_1^a_1, ..., x_n^a_n)). This naturally leads to a new generalization of the bi...
Abelianizations of derivation Lie algebras of free associative algebra and free Lie algebra
moduli space of curves Lie algebra homology graph homology derivation
2011/9/14
Abstract: We determine the abelianizations of the following three kinds of graded Lie algebras in a certain stable range: derivations of the free associative algebra, derivations of the free Lie algeb...
On resolutions of diagrams of algebras
diagrams of algebras Algebraic Topology K-Theory and Homology
2011/8/29
Abstract: We prove a restricted version of a conjecture by M. Markl on resolutions of an operad describing diagrams of algebras. We discuss a particular case related to the Gerstenhaber-Schack diagram...
Traces of Maximal Ideals of Topological Algebras in Their Subalgebras
Topological algebras Gelfand-Mazur algebras locally pseudoconvex algebras galbed algebras traces of ideals in subalgebras
2010/2/26
Let K be one of the fields R or C, A a topological associative algebra over K with separately continuous multiplication, B a subalgebra of A and M a closed maximal regular left (right or two-sided) id...
On locally m-pseudoconvex A*-algebras
Locally m-pseudoconvex A*-algebra auxiliary topology Q-algebra pre-C*-algebra A*-algebra of the first kind
2010/3/1
We consider classical A*-algebras in the context of locally pseudoconvex algebras. Results concerning the auxiliary topology and A* -algebras of the first kind are given.
Criteria of Le page Type in Involutive Banach Algebras
Banach algebra Commutativity C\star-algebra antilinear map Spectral radius Numerical radius
2010/3/3
The Le Page inequality in Banach algebras is \parallel xy \parallel\leqa\parallel yx\parallel. We consider inequalities where a linear involution appears and has consequences on the involution itself ...