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Balchin, Scott (ed.) et al., Equivariant topology and derived algebra. Based on the conference, Trondheim, Norway, 2019. In honour of Professor J. P. C. Greenlees’ 60th birthday. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 474, 100-118 (2022).

Reviewer: Gabriel Angelini-Knoll (Berlin)

MSC: 55P42 18G99 19D55

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Dugger, Daniel

Gysin functors, correspondences, and the Grothendieck-Witt category. (English) Zbl 07467860

Theory Appl. Categ. 38, 156-213 (2022).

Reviewer: Marek Golasiński (Olsztyn)

MSC: 18B10 12F10 19L47

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Rülling, Kay; Sugiyama, Rin; Yamazaki, Takao

Tensor structures in the theory of modulus presheaves with transfers. (English) Zbl 07463813

Math. Z. 300, No. 1, 929-977 (2022).

MSC: 14F42 19E15 19D45

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Annala, Toni

Base independent algebraic cobordism. (English) Zbl 07461232

J. Pure Appl. Algebra 226, No. 6, Article ID 106977, 44 p. (2022).

MSC: 14F43 14C17 19E08

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Azam, Haniya; Blanchet, Christian

Topological Fukaya categories of surfaces. (English) Zbl 07461213

J. Pure Appl. Algebra 226, No. 6, Article ID 106941, 30 p. (2022).

MSC: 53D37 18F30 57N99

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Diyanatnezhad, Raziyeh; Nasr-Isfahani, Alireza

Relations for Grothendieck groups of \(n\)-cluster tilting subcategories. (English) Zbl 07459367

J. Algebra 594, 54-73 (2022).

Reviewer: Piotr Malicki (Toruń)

MSC: 16G10 16E20 18F30 18A25

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Güneysu, Batu; Ludewig, Matthias

The Chern character of \(\vartheta \)-summable Fredholm modules over dg algebras and localization on loop space. (English) Zbl 07456623

Adv. Math. 395, Article ID 108143, 52 p. (2022).

Reviewer: Peter Haskell (Blacksburg)

MSC: 58B34 58J20 55P35 19D55

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Smirnov, Andrey; Zhou, Zijun

3d mirror symmetry and quantum \(K\)-theory of hypertoric varieties. (English) Zbl 07456612

Adv. Math. 395, Article ID 108081, 61 p. (2022).

MSC: 81T30 19L47 14M25 14J33 55N34

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Kawamura, Hanamichi; Maesaka, Takumi; Seki, Shin-ichiro

Multivariable connected sums and multiple polylogarithms. (English) Zbl 07456304

Res. Math. Sci. 9, No. 1, Paper No. 4, 25 p. (2022).

MSC: 11M32 11M41 11G55

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Rohrbach, Herman

The projective bundle formula for Grothendieck-Witt spectra. (English) Zbl 07455895

J. Pure Appl. Algebra 226, No. 5, Article ID 106917, 24 p. (2022).

MSC: 19G38 14N05 19E08

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Mirzaii, Behrooz

Homology of \(GL_n\) over infinite fields outside the stability range. (English) Zbl 1481.19003

J. Pure Appl. Algebra 226, No. 5, Article ID 106916, 33 p. (2022).

Reviewer: Kevin Hutchinson (Dublin)

MSC: 19D55 19D45 20J06

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Gupta, Rahul

Motivic invariants of symmetric powers of curves. (English) Zbl 07455892

J. Pure Appl. Algebra 226, No. 5, Article ID 106913, 21 p. (2022).

MSC: 14C25 19E08 14H99

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Dundas, Bjørn Ian; Lindenstrauss, Ayelet; Richter, Birgit

Corrigendum to: “Towards an understanding of ramified extensions of structured ring spectra”. (English) Zbl 1480.55010

Math. Proc. Camb. Philos. Soc. 172, No. 1, 247-248 (2022).

MSC: 55P43 55N15 11S15

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Pippi, Massimo

Motivic and \(\ell\)-adic realizations of the category of singularities of the zero locus of a global section of a vector bundle. (English) Zbl 07453894

Sel. Math., New Ser. 28, No. 2, Paper No. 33, 72 p. (2022).

MSC: 14F42 19E08 32S30 14B05 14F08

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Yusof, Taufik

\(K_{-1}\) and higher \(\widetilde{K}\)-groups of cones of smooth projective plane curves. (English) Zbl 1479.19002

Bull. Malays. Math. Sci. Soc. (2) 45, No. 1, 37-56 (2022).

MSC: 19D35 19D50 19D55

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Hazrat, R.; Li, Huanhuan

A note on the centralizer of a subalgebra of the Steinberg algebra. (English) Zbl 07452253

St. Petersbg. Math. J. 33, No. 1, 179-184 (2022) and Algebra Anal. 33, No. 1, 246-253 (2021).

MSC: 18B40 19Axx 22A22 19D55 16Sxx

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Panin, I.; Walter, C.

Quaternionic Grassmannians and Borel classes in algebraic geometry. (English) Zbl 07452250

St. Petersbg. Math. J. 33, No. 1, 97-140 (2022) and Algebra Anal. 33, No. 1, 136-193 (2021).

MSC: 14M15

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D’Alesio, Stefano

Derived representation schemes and Nakajima quiver varieties. (English) Zbl 07451872

Sel. Math., New Ser. 28, No. 1, Paper No. 20, 56 p. (2022).

Reviewer: Huaxin Liu (Oxford)

MSC: 14D21 16G20 16E05 16E45 19L47

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Varagnolo, M.; Vasserot, E.

K-theoretic Hall algebras, quantum groups and super quantum groups. (English) Zbl 07437392

Sel. Math., New Ser. 28, No. 1, Paper No. 7, 56 p. (2022).

MSC: 17B10 19E08

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Keshari, Manoj K.; Sharma, Sampat

Nice group structure on the elementary orbit space of unimodular rows. (English) Zbl 1474.13018

J. Pure Appl. Algebra 226, No. 4, Article ID 106889, 10 p. (2022).

MSC: 13C10 19D45 19G12

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Chakraborty, Kuntal; Rao, Ravi A.

On a theorem of Keune. (English) Zbl 1477.13025

J. Pure Appl. Algebra 226, No. 4, Article ID 106874, 18 p. (2022).

Reviewer: Wilberd van der Kallen (Utrecht)

MSC: 13C10 13H99 19B10 19C20 19C99 19D45

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Yao, Hongliang

Generalized inductive limits and maximal stably finite quotients of \(C^\ast \)-algebras. (English) Zbl 07412868

J. Math. Anal. Appl. 506, No. 2, Article ID 125692, 13 p. (2022).

MSC: 46L05 46M40 46L80 46M15

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Gomi, Kiyonori

Topological \(K\)-theory. Basics, calculations and applications to topological insulators (to appear). (English) Zbl 07407731

Berlin: De Gruyter (ISBN 978-3-11-067239-8/hbk). 200 p. (2022).

MSC: 19-01 19Lxx

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Mirzaii, B.; Mokari, F. Y.; Ordinola, D. C.

Third homology of perfect central extensions. (English) Zbl 07528536

Adv. Stud.: Euro-Tbil. Math. J. 14, No. 4, 61-80 (2021).

MSC: 20J06 19D55 55P20

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Kajiwara, Tsuyoshi; Watatani, Yasuo

**Dimension groups for self-similar maps and matrix representations of the cores of the associated \(C^*\)-algebras.** (English) Zbl 07525000

Can. J. Math. 73, No. 4, 1013-1056 (2021).

MSC: 46L80 46L08 46L35 46L55

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Sudo, Takahiro

Contractible \(C^\ast\)-algebras by surjective homomorphisms. (English) Zbl 07522961

JP J. Geom. Topol. 26, No. 2, 131-138 (2021).

MSC: 46L80 46L05

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Gąsior, Anna; Szczepański, Andrzej

**Examples of non connective \(C^*\)-algebras.** (English) Zbl 07513761

Ann. Univ. Paedagog. Crac., Stud. Math. 345(20), 57-61 (2021).

MSC: 46L05 20H15 46L80

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Braunling, Oliver; Henrard, Ruben; van Roosmalen, Adam-Christiaan

\(K\)-theory of locally compact modules over orders. (English) Zbl 07513395

Isr. J. Math. 246, No. 1, 315-333 (2021).

MSC: 18Exx 18Gxx 19Dxx

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Ikeda, Kazim İlhan; Serbest, Erol

Local abelian Kato-Parshin reciprocity law: a survey. (English) Zbl 07512841

Hacet. J. Math. Stat. 50, No. 5, 1225-1250 (2021).

MSC: 11S70 19F05

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Xie, Zhizhang; Yu, Guoliang

**Delocalized eta invariants, algebraicity, and \(K\)-theory of group \(C^*\)-algebras.** (English) Zbl 07503569

Int. Math. Res. Not. 2021, No. 15, 11731-11766 (2021).

MSC: 58J28 19Kxx 46Lxx

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Found 12,350 Documents (Results 1–100)

The Novikov conjecture and extensions of coarsely embeddable groups. (English) Zbl 07529820

The relative Mishchenko-Fomenko higher index and almost flat bundles II: almost flat index pairing. (English) Zbl 07529819

Cyclic Gerstenhaber-Schack cohomology. (English) Zbl 07529817

Geometric K-homology and the Freed-Hopkins-Teleman theorem. (English) Zbl 07529816

Measured quantum groupoids on a finite basis and equivariant Kasparov theory. (English) Zbl 07529815

Derived invariants from topological Hochschild homology. (English) Zbl 07529483

Strong linkage for function fields of surfaces. (English) Zbl 07529414

Quantum \(K\) theory of symplectic Grassmannians. (English) Zbl 07529310

Chromatic splitting for the \(K(2)\)-local sphere at \(p=2\). (English) Zbl 07525904

Algebraic \(K\)-theory and Grothendieck-Witt theory of monoid schemes. (English) Zbl 07525043

An equivariant Atiyah-Patodi-Singer index theorem for proper actions. II: The \(K\)-theoretic index. (English) Zbl 07525041

The homology of \(SL_2\) of discrete valuation rings. (English) Zbl 07524878

A noncommutative calculus on the cyclic dual of Ext. (English) Zbl 07524673

Real rank zero for purely infinite corona algebras. (English) Zbl 07524622

\(\mathrm{GE}_2\)-rings and a graph of unimodular rows. (English) Zbl 07524225

\(K\)-theory of Prüfer domains. (English) Zbl 07524208

Simplicial and dimension groups with group action and their realization. (English) Zbl 07524159

Baum-Connes and the Fourier-Mukai transform. (English) Zbl 07523586

Witt vectors with coefficients and characteristic polynomials over non-commutative rings. (English) Zbl 07522565

On the algebraic K-theory of double points. (English) Zbl 07518310

The rank filtration via a filtered bar construction. (English) Zbl 07518306

Reducers and \(K_0\) with support. (English) Zbl 07517827

Group completion in the \(K\)-theory and Grothendieck-Witt theory of proto-exact categories. (English) Zbl 07517045

Homotopy Mackey functors of equivariant algebraic \(K\)-theory. (English) Zbl 07517042

A \(\mathbb{T}\)-algebras from fiberwise essentially minimal zero-dimensional dynamical systems. (English) Zbl 07516480

A characterisation of elementary fibrations. (English) Zbl 07514090

The classification of certain ASH C\(^\ast\)-algebras of real rank zero. (English) Zbl 07513872

The index theorem of lattice Wilson-Dirac operators via higher index theory. (English) Zbl 07511011

Galois symbol map for a Tate curve. (English) Zbl 07510737

Homotopy of product systems and \(K\)-theory of Cuntz-Nica-Pimsner algebras. (English) Zbl 07509438

Remarks on classical number-theoretic aspects of Milnor-Witt K-theory. (English) Zbl 07509425

Homogeneous spaces, algebraic \(K\)-theory and cohomological dimension of fields. (English) Zbl 07509415

\(p\)-hyperbolicity of homotopy groups via \(K\)-theory. (English) Zbl 07507840

Witt groups of isotropic Grassmann bundles (to appear). (English) Zbl 07507532

On conjectures of Hovey-Strickland and Chai. (English) Zbl 07507367

Approximating absolute Galois groups. (English) Zbl 07506960

Cancellation of vector bundles of rank 3 with trivial Chern classes on smooth affine fourfolds. (English) Zbl 07506959

Cobasically discrete modules and generalizations of Bousfield’s exact sequence. (English) Zbl 07506509

Uniformly bounded fibred coarse embeddability and uniformly bounded a-T-menability. (English) Zbl 07506398

Partially algebraic maps and operator algebras. (English) Zbl 07505866

Chern character and obstructions to deforming cycles. (English) Zbl 1483.14014

Some results and a \(K\)-theory problem about threshold commutants mod normed ideals. (English) Zbl 07503132

On the quantum K-theory of the quintic. (English) Zbl 07501817

Homomorphisms of \(\mathrm{C}^\ast\)-algebras and their \(\mathrm{K}\)-theory. (English) Zbl 07499378

The equivariant parametrized \(h\)-cobordism theorem, the non-manifold part. (English) Zbl 07496413

Bounded t-structures on the category of perfect complexes over a Noetherian ring of finite Krull dimension. (English) Zbl 07496412

The Heisenberg calculus, index theory and cyclic cohomology. (English) Zbl 07496411

A homological approach to pseudoisotopy theory. I. (English) Zbl 07495369

Slant products on the Higson-Roe exact sequence. (Slant-produits sur la suite exacte de Higson-Roe.) (English. French summary) Zbl 07492531

Elliptic classes on Langlands dual flag varieties. (English) Zbl 07489739

Variants of multiple zeta values with even and odd summation indices. (English) Zbl 07489538

An analogue of a result of Tits for transvection groups. (English) Zbl 1483.13026

A note on the Venice lemma in differential \(K\)-theory. (English) Zbl 07489064

Remarks on the second homology groups of queer Lie superalgebras. (English) Zbl 07488688

K-theory for semigroup C*-algebras and partial crossed products. (English) Zbl 07488546

On \(q\)-tensor products of Cuntz algebras. (English) Zbl 07488269

Reconstruction and local extensions for twisted group doubles, and permutation orbifolds. (English) Zbl 07487610

On finiteness properties of Noetherian (Artinian) \(C^*\)-algebras. (English) Zbl 07485850

The norm residue symbol for higher local fields. (English) Zbl 07485547

On the finiteness of quantum K-theory of a homogeneous space. (English) Zbl 07483056

Cocyclic complexes of Hopf algebras with special antipodes. (English) Zbl 07482348

Noncommutative differential \(K\)-theory. (English) Zbl 07482220

On the algebraic \(K\)-theory of orientable \(3\)-manifold groups. (English) Zbl 07481849

\(K_2\) of families of curves with non-torsion differences in divisorial support. (English) Zbl 1481.19004

\(\mathbb{A}^1\)-invariance of non-stable \(K_1\)-functors in the equicharacteristic case. (English) Zbl 1479.14061

Grothendieck group for sequences. (English) Zbl 1481.18016

Geometry of information: classical and quantum aspects. (English) Zbl 1481.14001

Notes on the filtration of the \(K\)-theory for abelian \(p\)-groups. (English) Zbl 07475382

On \(K_0\) of locally finite categories. (English) Zbl 1481.18015

\(K\)-theoretic generalized Donaldson-Thomas invariants. (English) Zbl 07471374

Chromatic fracture cubes. (English) Zbl 07469288

Gysin functors, correspondences, and the Grothendieck-Witt category. (English) Zbl 07467860

Tensor structures in the theory of modulus presheaves with transfers. (English) Zbl 07463813

Base independent algebraic cobordism. (English) Zbl 07461232

Topological Fukaya categories of surfaces. (English) Zbl 07461213

Relations for Grothendieck groups of \(n\)-cluster tilting subcategories. (English) Zbl 07459367

**K-theory for semigroup C*-algebras and partial crossed products.** (English) Zbl 07488546

**On finiteness properties of Noetherian (Artinian) \(C^*\)-algebras.** (English) Zbl 07485850

**Dimension groups for self-similar maps and matrix representations of the cores of the associated \(C^*\)-algebras.** (English) Zbl 07525000

**Examples of non connective \(C^*\)-algebras.** (English) Zbl 07513761

**Delocalized eta invariants, algebraicity, and \(K\)-theory of group \(C^*\)-algebras.** (English) Zbl 07503569